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Finding the Third Proportional to 249,068 and 540,472

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Solution

The third proportional to 249,068 and 540,472 is: 1,172,812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,068 : 540,472 = 540,472 : x
  2. Step 2: Convert to fraction form
    249,068/540,472 = 540,472/x
  3. Step 3: Cross multiply
    249,068x = 540,472 × 540,472
  4. Step 4: Simplify right side
    249,068x = 292,109,982,784
  5. Step 5: Solve for x
    x = 292,109,982,784/249,068
  6. Step 6: Final answer
    x = 1,172,812.17

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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.