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Finding the Third Proportional to 627,664 and 929,304

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Solution

The third proportional to 627,664 and 929,304 is: 1,375,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,664 : 929,304 = 929,304 : x
  2. Step 2: Convert to fraction form
    627,664/929,304 = 929,304/x
  3. Step 3: Cross multiply
    627,664x = 929,304 × 929,304
  4. Step 4: Simplify right side
    627,664x = 863,605,924,416
  5. Step 5: Solve for x
    x = 863,605,924,416/627,664
  6. Step 6: Final answer
    x = 1,375,904.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.