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Finding the Third Proportional to 649,300.50 and 998,574.75

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Solution

The third proportional to 649,300.50 and 998,574.75 is: 1,535,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,300.50 : 998,574.75 = 998,574.75 : x
  2. Step 2: Convert to fraction form
    649,300.50/998,574.75 = 998,574.75/x
  3. Step 3: Cross multiply
    649,300.50x = 998,574.75 × 998,574.75
  4. Step 4: Simplify right side
    649,300.50x = 997,151,531,337.56
  5. Step 5: Solve for x
    x = 997,151,531,337.56/649,300.50
  6. Step 6: Final answer
    x = 1,535,731.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.