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Finding the Third Proportional to 331,004,705.75 and 702,357,409

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Solution

The third proportional to 331,004,705.75 and 702,357,409 is: 1,490,329,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,004,705.75 : 702,357,409 = 702,357,409 : x
  2. Step 2: Convert to fraction form
    331,004,705.75/702,357,409 = 702,357,409/x
  3. Step 3: Cross multiply
    331,004,705.75x = 702,357,409 × 702,357,409
  4. Step 4: Simplify right side
    331,004,705.75x = 493,305,929,977,193,280
  5. Step 5: Solve for x
    x = 493,305,929,977,193,280/331,004,705.75
  6. Step 6: Final answer
    x = 1,490,329,053.96

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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.