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Finding the Third Proportional to 650,898.50 and 1,007,748.75

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Solution

The third proportional to 650,898.50 and 1,007,748.75 is: 1,560,239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,898.50 : 1,007,748.75 = 1,007,748.75 : x
  2. Step 2: Convert to fraction form
    650,898.50/1,007,748.75 = 1,007,748.75/x
  3. Step 3: Cross multiply
    650,898.50x = 1,007,748.75 × 1,007,748.75
  4. Step 4: Simplify right side
    650,898.50x = 1,015,557,543,126.56
  5. Step 5: Solve for x
    x = 1,015,557,543,126.56/650,898.50
  6. Step 6: Final answer
    x = 1,560,239.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.