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Finding the Third Proportional to 416,713.50 and 630,879

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Solution

The third proportional to 416,713.50 and 630,879 is: 955,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,713.50 : 630,879 = 630,879 : x
  2. Step 2: Convert to fraction form
    416,713.50/630,879 = 630,879/x
  3. Step 3: Cross multiply
    416,713.50x = 630,879 × 630,879
  4. Step 4: Simplify right side
    416,713.50x = 398,008,312,641
  5. Step 5: Solve for x
    x = 398,008,312,641/416,713.50
  6. Step 6: Final answer
    x = 955,112.60

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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.