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Finding the Third Proportional to 249,352 and 534,424

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Solution

The third proportional to 249,352 and 534,424 is: 1,145,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,352 : 534,424 = 534,424 : x
  2. Step 2: Convert to fraction form
    249,352/534,424 = 534,424/x
  3. Step 3: Cross multiply
    249,352x = 534,424 × 534,424
  4. Step 4: Simplify right side
    249,352x = 285,609,011,776
  5. Step 5: Solve for x
    x = 285,609,011,776/249,352
  6. Step 6: Final answer
    x = 1,145,404.94

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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.