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Finding the Third Proportional to 587,208 and 1,251,325.50

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Solution

The third proportional to 587,208 and 1,251,325.50 is: 2,666,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,208 : 1,251,325.50 = 1,251,325.50 : x
  2. Step 2: Convert to fraction form
    587,208/1,251,325.50 = 1,251,325.50/x
  3. Step 3: Cross multiply
    587,208x = 1,251,325.50 × 1,251,325.50
  4. Step 4: Simplify right side
    587,208x = 1,565,815,506,950.25
  5. Step 5: Solve for x
    x = 1,565,815,506,950.25/587,208
  6. Step 6: Final answer
    x = 2,666,543.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.