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Finding the Third Proportional to 265,935.38 and 576,177.75

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Solution

The third proportional to 265,935.38 and 576,177.75 is: 1,248,351.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,935.38 : 576,177.75 = 576,177.75 : x
  2. Step 2: Convert to fraction form
    265,935.38/576,177.75 = 576,177.75/x
  3. Step 3: Cross multiply
    265,935.38x = 576,177.75 × 576,177.75
  4. Step 4: Simplify right side
    265,935.38x = 331,980,799,595.06
  5. Step 5: Solve for x
    x = 331,980,799,595.06/265,935.38
  6. Step 6: Final answer
    x = 1,248,351.41

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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.