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Finding the Third Proportional to 587,338.50 and 934,577.25

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Solution

The third proportional to 587,338.50 and 934,577.25 is: 1,487,106.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,338.50 : 934,577.25 = 934,577.25 : x
  2. Step 2: Convert to fraction form
    587,338.50/934,577.25 = 934,577.25/x
  3. Step 3: Cross multiply
    587,338.50x = 934,577.25 × 934,577.25
  4. Step 4: Simplify right side
    587,338.50x = 873,434,636,217.56
  5. Step 5: Solve for x
    x = 873,434,636,217.56/587,338.50
  6. Step 6: Final answer
    x = 1,487,106.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.