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Finding the Third Proportional to 249,399 and 516,537

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Solution

The third proportional to 249,399 and 516,537 is: 1,069,813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,399 : 516,537 = 516,537 : x
  2. Step 2: Convert to fraction form
    249,399/516,537 = 516,537/x
  3. Step 3: Cross multiply
    249,399x = 516,537 × 516,537
  4. Step 4: Simplify right side
    249,399x = 266,810,472,369
  5. Step 5: Solve for x
    x = 266,810,472,369/249,399
  6. Step 6: Final answer
    x = 1,069,813.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.