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Finding the Third Proportional to 527,719.50 and 818,192.25

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Solution

The third proportional to 527,719.50 and 818,192.25 is: 1,268,549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,719.50 : 818,192.25 = 818,192.25 : x
  2. Step 2: Convert to fraction form
    527,719.50/818,192.25 = 818,192.25/x
  3. Step 3: Cross multiply
    527,719.50x = 818,192.25 × 818,192.25
  4. Step 4: Simplify right side
    527,719.50x = 669,438,557,960.06
  5. Step 5: Solve for x
    x = 669,438,557,960.06/527,719.50
  6. Step 6: Final answer
    x = 1,268,549.97

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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.