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Finding the Third Proportional to 664,480.13 and 1,030,846.50

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Solution

The third proportional to 664,480.13 and 1,030,846.50 is: 1,599,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,480.13 : 1,030,846.50 = 1,030,846.50 : x
  2. Step 2: Convert to fraction form
    664,480.13/1,030,846.50 = 1,030,846.50/x
  3. Step 3: Cross multiply
    664,480.13x = 1,030,846.50 × 1,030,846.50
  4. Step 4: Simplify right side
    664,480.13x = 1,062,644,506,562.25
  5. Step 5: Solve for x
    x = 1,062,644,506,562.25/664,480.13
  6. Step 6: Final answer
    x = 1,599,211.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.