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Finding the Third Proportional to 402,832 and 564,698

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Solution

The third proportional to 402,832 and 564,698 is: 791,605.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,832 : 564,698 = 564,698 : x
  2. Step 2: Convert to fraction form
    402,832/564,698 = 564,698/x
  3. Step 3: Cross multiply
    402,832x = 564,698 × 564,698
  4. Step 4: Simplify right side
    402,832x = 318,883,831,204
  5. Step 5: Solve for x
    x = 318,883,831,204/402,832
  6. Step 6: Final answer
    x = 791,605.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.