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Finding the Third Proportional to 249,528 and 534,792

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Solution

The third proportional to 249,528 and 534,792 is: 1,146,173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,528 : 534,792 = 534,792 : x
  2. Step 2: Convert to fraction form
    249,528/534,792 = 534,792/x
  3. Step 3: Cross multiply
    249,528x = 534,792 × 534,792
  4. Step 4: Simplify right side
    249,528x = 286,002,483,264
  5. Step 5: Solve for x
    x = 286,002,483,264/249,528
  6. Step 6: Final answer
    x = 1,146,173.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.