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Finding the Third Proportional to 652,378.50 and 997,944.75

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Solution

The third proportional to 652,378.50 and 997,944.75 is: 1,526,558.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,378.50 : 997,944.75 = 997,944.75 : x
  2. Step 2: Convert to fraction form
    652,378.50/997,944.75 = 997,944.75/x
  3. Step 3: Cross multiply
    652,378.50x = 997,944.75 × 997,944.75
  4. Step 4: Simplify right side
    652,378.50x = 995,893,724,052.56
  5. Step 5: Solve for x
    x = 995,893,724,052.56/652,378.50
  6. Step 6: Final answer
    x = 1,526,558.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.