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Finding the Third Proportional to 575,427.38 and 871,138.13

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Solution

The third proportional to 575,427.38 and 871,138.13 is: 1,318,813.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,427.38 : 871,138.13 = 871,138.13 : x
  2. Step 2: Convert to fraction form
    575,427.38/871,138.13 = 871,138.13/x
  3. Step 3: Cross multiply
    575,427.38x = 871,138.13 × 871,138.13
  4. Step 4: Simplify right side
    575,427.38x = 758,881,632,828.52
  5. Step 5: Solve for x
    x = 758,881,632,828.52/575,427.38
  6. Step 6: Final answer
    x = 1,318,813.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.