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Finding the Third Proportional to 416,583 and 630,711

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Solution

The third proportional to 416,583 and 630,711 is: 954,903.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,583 : 630,711 = 630,711 : x
  2. Step 2: Convert to fraction form
    416,583/630,711 = 630,711/x
  3. Step 3: Cross multiply
    416,583x = 630,711 × 630,711
  4. Step 4: Simplify right side
    416,583x = 397,796,365,521
  5. Step 5: Solve for x
    x = 397,796,365,521/416,583
  6. Step 6: Final answer
    x = 954,903.02

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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.