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Finding the Third Proportional to 762,565.50 and 1,588,290.75

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Solution

The third proportional to 762,565.50 and 1,588,290.75 is: 3,308,132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,565.50 : 1,588,290.75 = 1,588,290.75 : x
  2. Step 2: Convert to fraction form
    762,565.50/1,588,290.75 = 1,588,290.75/x
  3. Step 3: Cross multiply
    762,565.50x = 1,588,290.75 × 1,588,290.75
  4. Step 4: Simplify right side
    762,565.50x = 2,522,667,506,535.56
  5. Step 5: Solve for x
    x = 2,522,667,506,535.56/762,565.50
  6. Step 6: Final answer
    x = 3,308,132.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.