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Finding the Third Proportional to 240,478.88 and 380,771.72

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Solution

The third proportional to 240,478.88 and 380,771.72 is: 602,909.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,478.88 : 380,771.72 = 380,771.72 : x
  2. Step 2: Convert to fraction form
    240,478.88/380,771.72 = 380,771.72/x
  3. Step 3: Cross multiply
    240,478.88x = 380,771.72 × 380,771.72
  4. Step 4: Simplify right side
    240,478.88x = 144,987,101,799.83
  5. Step 5: Solve for x
    x = 144,987,101,799.83/240,478.88
  6. Step 6: Final answer
    x = 602,909.93

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.