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Finding the Third Proportional to 484,359 and 664,893

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Solution

The third proportional to 484,359 and 664,893 is: 912,717.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,359 : 664,893 = 664,893 : x
  2. Step 2: Convert to fraction form
    484,359/664,893 = 664,893/x
  3. Step 3: Cross multiply
    484,359x = 664,893 × 664,893
  4. Step 4: Simplify right side
    484,359x = 442,082,701,449
  5. Step 5: Solve for x
    x = 442,082,701,449/484,359
  6. Step 6: Final answer
    x = 912,717.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.