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Finding the Third Proportional to 357,667.88 and 540,147.38

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Solution

The third proportional to 357,667.88 and 540,147.38 is: 815,726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,667.88 : 540,147.38 = 540,147.38 : x
  2. Step 2: Convert to fraction form
    357,667.88/540,147.38 = 540,147.38/x
  3. Step 3: Cross multiply
    357,667.88x = 540,147.38 × 540,147.38
  4. Step 4: Simplify right side
    357,667.88x = 291,759,186,719.39
  5. Step 5: Solve for x
    x = 291,759,186,719.39/357,667.88
  6. Step 6: Final answer
    x = 815,726.56

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