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Finding the Third Proportional to 416,346 and 658,620

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Solution

The third proportional to 416,346 and 658,620 is: 1,041,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,346 : 658,620 = 658,620 : x
  2. Step 2: Convert to fraction form
    416,346/658,620 = 658,620/x
  3. Step 3: Cross multiply
    416,346x = 658,620 × 658,620
  4. Step 4: Simplify right side
    416,346x = 433,780,304,400
  5. Step 5: Solve for x
    x = 433,780,304,400/416,346
  6. Step 6: Final answer
    x = 1,041,874.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.