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Finding the Third Proportional to 465,987 and 698,260.50

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Solution

The third proportional to 465,987 and 698,260.50 is: 1,046,311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,987 : 698,260.50 = 698,260.50 : x
  2. Step 2: Convert to fraction form
    465,987/698,260.50 = 698,260.50/x
  3. Step 3: Cross multiply
    465,987x = 698,260.50 × 698,260.50
  4. Step 4: Simplify right side
    465,987x = 487,567,725,860.25
  5. Step 5: Solve for x
    x = 487,567,725,860.25/465,987
  6. Step 6: Final answer
    x = 1,046,311.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.