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Finding the Third Proportional to 249,320 and 540,436

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Solution

The third proportional to 249,320 and 540,436 is: 1,171,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,320 : 540,436 = 540,436 : x
  2. Step 2: Convert to fraction form
    249,320/540,436 = 540,436/x
  3. Step 3: Cross multiply
    249,320x = 540,436 × 540,436
  4. Step 4: Simplify right side
    249,320x = 292,071,070,096
  5. Step 5: Solve for x
    x = 292,071,070,096/249,320
  6. Step 6: Final answer
    x = 1,171,470.68

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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.