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Finding the Third Proportional to 417,399 and 634,077

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Solution

The third proportional to 417,399 and 634,077 is: 963,235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,399 : 634,077 = 634,077 : x
  2. Step 2: Convert to fraction form
    417,399/634,077 = 634,077/x
  3. Step 3: Cross multiply
    417,399x = 634,077 × 634,077
  4. Step 4: Simplify right side
    417,399x = 402,053,641,929
  5. Step 5: Solve for x
    x = 402,053,641,929/417,399
  6. Step 6: Final answer
    x = 963,235.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.