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Finding the Third Proportional to 249,359 and 534,448

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Solution

The third proportional to 249,359 and 534,448 is: 1,145,475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,359 : 534,448 = 534,448 : x
  2. Step 2: Convert to fraction form
    249,359/534,448 = 534,448/x
  3. Step 3: Cross multiply
    249,359x = 534,448 × 534,448
  4. Step 4: Simplify right side
    249,359x = 285,634,664,704
  5. Step 5: Solve for x
    x = 285,634,664,704/249,359
  6. Step 6: Final answer
    x = 1,145,475.66

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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.