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Finding the Third Proportional to 417,010 and 690,216

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Solution

The third proportional to 417,010 and 690,216 is: 1,142,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,010 : 690,216 = 690,216 : x
  2. Step 2: Convert to fraction form
    417,010/690,216 = 690,216/x
  3. Step 3: Cross multiply
    417,010x = 690,216 × 690,216
  4. Step 4: Simplify right side
    417,010x = 476,398,126,656
  5. Step 5: Solve for x
    x = 476,398,126,656/417,010
  6. Step 6: Final answer
    x = 1,142,414.15

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.