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Finding the Third Proportional to 416,840 and 645,855

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Solution

The third proportional to 416,840 and 645,855 is: 1,000,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,840 : 645,855 = 645,855 : x
  2. Step 2: Convert to fraction form
    416,840/645,855 = 645,855/x
  3. Step 3: Cross multiply
    416,840x = 645,855 × 645,855
  4. Step 4: Simplify right side
    416,840x = 417,128,681,025
  5. Step 5: Solve for x
    x = 417,128,681,025/416,840
  6. Step 6: Final answer
    x = 1,000,692.55

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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.