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Finding the Third Proportional to 331,004,705.34 and 702,357,407.86

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Solution

The third proportional to 331,004,705.34 and 702,357,407.86 is: 1,490,329,050.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,004,705.34 : 702,357,407.86 = 702,357,407.86 : x
  2. Step 2: Convert to fraction form
    331,004,705.34/702,357,407.86 = 702,357,407.86/x
  3. Step 3: Cross multiply
    331,004,705.34x = 702,357,407.86 × 702,357,407.86
  4. Step 4: Simplify right side
    331,004,705.34x = 493,305,928,374,947,456
  5. Step 5: Solve for x
    x = 493,305,928,374,947,456/331,004,705.34
  6. Step 6: Final answer
    x = 1,490,329,050.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.