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Finding the Third Proportional to 305,925 and 662,691

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Solution

The third proportional to 305,925 and 662,691 is: 1,435,513.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,925 : 662,691 = 662,691 : x
  2. Step 2: Convert to fraction form
    305,925/662,691 = 662,691/x
  3. Step 3: Cross multiply
    305,925x = 662,691 × 662,691
  4. Step 4: Simplify right side
    305,925x = 439,159,361,481
  5. Step 5: Solve for x
    x = 439,159,361,481/305,925
  6. Step 6: Final answer
    x = 1,435,513.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.