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Finding the Third Proportional to 249,722 and 534,436

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Solution

The third proportional to 249,722 and 534,436 is: 1,143,759.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,722 : 534,436 = 534,436 : x
  2. Step 2: Convert to fraction form
    249,722/534,436 = 534,436/x
  3. Step 3: Cross multiply
    249,722x = 534,436 × 534,436
  4. Step 4: Simplify right side
    249,722x = 285,621,838,096
  5. Step 5: Solve for x
    x = 285,621,838,096/249,722
  6. Step 6: Final answer
    x = 1,143,759.21

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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.