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Finding the Third Proportional to 417,758 and 608,769

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Solution

The third proportional to 417,758 and 608,769 is: 887,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,758 : 608,769 = 608,769 : x
  2. Step 2: Convert to fraction form
    417,758/608,769 = 608,769/x
  3. Step 3: Cross multiply
    417,758x = 608,769 × 608,769
  4. Step 4: Simplify right side
    417,758x = 370,599,695,361
  5. Step 5: Solve for x
    x = 370,599,695,361/417,758
  6. Step 6: Final answer
    x = 887,115.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.