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Finding the Third Proportional to 652,591.69 and 1,008,412.03

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Solution

The third proportional to 652,591.69 and 1,008,412.03 is: 1,558,240.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,591.69 : 1,008,412.03 = 1,008,412.03 : x
  2. Step 2: Convert to fraction form
    652,591.69/1,008,412.03 = 1,008,412.03/x
  3. Step 3: Cross multiply
    652,591.69x = 1,008,412.03 × 1,008,412.03
  4. Step 4: Simplify right side
    652,591.69x = 1,016,894,824,769.75
  5. Step 5: Solve for x
    x = 1,016,894,824,769.75/652,591.69
  6. Step 6: Final answer
    x = 1,558,240.54

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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.