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Finding the Third Proportional to 249,325 and 545,387

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Solution

The third proportional to 249,325 and 545,387 is: 1,193,009.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,325 : 545,387 = 545,387 : x
  2. Step 2: Convert to fraction form
    249,325/545,387 = 545,387/x
  3. Step 3: Cross multiply
    249,325x = 545,387 × 545,387
  4. Step 4: Simplify right side
    249,325x = 297,446,979,769
  5. Step 5: Solve for x
    x = 297,446,979,769/249,325
  6. Step 6: Final answer
    x = 1,193,009.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.