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Finding the Third Proportional to 473,910.75 and 614,800.13

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Solution

The third proportional to 473,910.75 and 614,800.13 is: 797,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,910.75 : 614,800.13 = 614,800.13 : x
  2. Step 2: Convert to fraction form
    473,910.75/614,800.13 = 614,800.13/x
  3. Step 3: Cross multiply
    473,910.75x = 614,800.13 × 614,800.13
  4. Step 4: Simplify right side
    473,910.75x = 377,979,193,700.02
  5. Step 5: Solve for x
    x = 377,979,193,700.02/473,910.75
  6. Step 6: Final answer
    x = 797,574.64

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.