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Finding the Third Proportional to 407,721 and 587,281.50

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Solution

The third proportional to 407,721 and 587,281.50 is: 845,920.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,721 : 587,281.50 = 587,281.50 : x
  2. Step 2: Convert to fraction form
    407,721/587,281.50 = 587,281.50/x
  3. Step 3: Cross multiply
    407,721x = 587,281.50 × 587,281.50
  4. Step 4: Simplify right side
    407,721x = 344,899,560,242.25
  5. Step 5: Solve for x
    x = 344,899,560,242.25/407,721
  6. Step 6: Final answer
    x = 845,920.52

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.