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Finding the Third Proportional to 275,526.38 and 597,031.88

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Solution

The third proportional to 275,526.38 and 597,031.88 is: 1,293,694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,526.38 : 597,031.88 = 597,031.88 : x
  2. Step 2: Convert to fraction form
    275,526.38/597,031.88 = 597,031.88/x
  3. Step 3: Cross multiply
    275,526.38x = 597,031.88 × 597,031.88
  4. Step 4: Simplify right side
    275,526.38x = 356,447,059,766.02
  5. Step 5: Solve for x
    x = 356,447,059,766.02/275,526.38
  6. Step 6: Final answer
    x = 1,293,694.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.