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Finding the Third Proportional to 124,570 and 292,448

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Solution

The third proportional to 124,570 and 292,448 is: 686,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,570 : 292,448 = 292,448 : x
  2. Step 2: Convert to fraction form
    124,570/292,448 = 292,448/x
  3. Step 3: Cross multiply
    124,570x = 292,448 × 292,448
  4. Step 4: Simplify right side
    124,570x = 85,525,832,704
  5. Step 5: Solve for x
    x = 85,525,832,704/124,570
  6. Step 6: Final answer
    x = 686,568.46

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.