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Finding the Third Proportional to 447,160 and 664,664

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Solution

The third proportional to 447,160 and 664,664 is: 987,964.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,160 : 664,664 = 664,664 : x
  2. Step 2: Convert to fraction form
    447,160/664,664 = 664,664/x
  3. Step 3: Cross multiply
    447,160x = 664,664 × 664,664
  4. Step 4: Simplify right side
    447,160x = 441,778,232,896
  5. Step 5: Solve for x
    x = 441,778,232,896/447,160
  6. Step 6: Final answer
    x = 987,964.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.