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Finding the Third Proportional to 124,792 and 294,592

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Solution

The third proportional to 124,792 and 294,592 is: 695,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,792 : 294,592 = 294,592 : x
  2. Step 2: Convert to fraction form
    124,792/294,592 = 294,592/x
  3. Step 3: Cross multiply
    124,792x = 294,592 × 294,592
  4. Step 4: Simplify right side
    124,792x = 86,784,446,464
  5. Step 5: Solve for x
    x = 86,784,446,464/124,792
  6. Step 6: Final answer
    x = 695,432.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.