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Finding the Third Proportional to 522,082.13 and 830,742.75

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Solution

The third proportional to 522,082.13 and 830,742.75 is: 1,321,886.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,082.13 : 830,742.75 = 830,742.75 : x
  2. Step 2: Convert to fraction form
    522,082.13/830,742.75 = 830,742.75/x
  3. Step 3: Cross multiply
    522,082.13x = 830,742.75 × 830,742.75
  4. Step 4: Simplify right side
    522,082.13x = 690,133,516,677.56
  5. Step 5: Solve for x
    x = 690,133,516,677.56/522,082.13
  6. Step 6: Final answer
    x = 1,321,886.89

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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.