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Finding the Third Proportional to 423,624 and 622,464

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Solution

The third proportional to 423,624 and 622,464 is: 914,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,624 : 622,464 = 622,464 : x
  2. Step 2: Convert to fraction form
    423,624/622,464 = 622,464/x
  3. Step 3: Cross multiply
    423,624x = 622,464 × 622,464
  4. Step 4: Simplify right side
    423,624x = 387,461,431,296
  5. Step 5: Solve for x
    x = 387,461,431,296/423,624
  6. Step 6: Final answer
    x = 914,635.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.