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Finding the Third Proportional to 416,703 and 630,863

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Solution

The third proportional to 416,703 and 630,863 is: 955,088.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,703 : 630,863 = 630,863 : x
  2. Step 2: Convert to fraction form
    416,703/630,863 = 630,863/x
  3. Step 3: Cross multiply
    416,703x = 630,863 × 630,863
  4. Step 4: Simplify right side
    416,703x = 397,988,124,769
  5. Step 5: Solve for x
    x = 397,988,124,769/416,703
  6. Step 6: Final answer
    x = 955,088.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.