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Finding the Third Proportional to 345,644 and 536,448

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Solution

The third proportional to 345,644 and 536,448 is: 832,580.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,644 : 536,448 = 536,448 : x
  2. Step 2: Convert to fraction form
    345,644/536,448 = 536,448/x
  3. Step 3: Cross multiply
    345,644x = 536,448 × 536,448
  4. Step 4: Simplify right side
    345,644x = 287,776,456,704
  5. Step 5: Solve for x
    x = 287,776,456,704/345,644
  6. Step 6: Final answer
    x = 832,580.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.