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Finding the Third Proportional to 522,073.13 and 830,727.75

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Solution

The third proportional to 522,073.13 and 830,727.75 is: 1,321,861.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,073.13 : 830,727.75 = 830,727.75 : x
  2. Step 2: Convert to fraction form
    522,073.13/830,727.75 = 830,727.75/x
  3. Step 3: Cross multiply
    522,073.13x = 830,727.75 × 830,727.75
  4. Step 4: Simplify right side
    522,073.13x = 690,108,594,620.06
  5. Step 5: Solve for x
    x = 690,108,594,620.06/522,073.13
  6. Step 6: Final answer
    x = 1,321,861.94

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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.