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Finding the Third Proportional to 663,471.50 and 1,000,705.25

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Solution

The third proportional to 663,471.50 and 1,000,705.25 is: 1,509,350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,471.50 : 1,000,705.25 = 1,000,705.25 : x
  2. Step 2: Convert to fraction form
    663,471.50/1,000,705.25 = 1,000,705.25/x
  3. Step 3: Cross multiply
    663,471.50x = 1,000,705.25 × 1,000,705.25
  4. Step 4: Simplify right side
    663,471.50x = 1,001,410,997,377.56
  5. Step 5: Solve for x
    x = 1,001,410,997,377.56/663,471.50
  6. Step 6: Final answer
    x = 1,509,350.44

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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.