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Finding the Third Proportional to 653,482 and 999,448

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Solution

The third proportional to 653,482 and 999,448 is: 1,528,575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,482 : 999,448 = 999,448 : x
  2. Step 2: Convert to fraction form
    653,482/999,448 = 999,448/x
  3. Step 3: Cross multiply
    653,482x = 999,448 × 999,448
  4. Step 4: Simplify right side
    653,482x = 998,896,304,704
  5. Step 5: Solve for x
    x = 998,896,304,704/653,482
  6. Step 6: Final answer
    x = 1,528,575.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.