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Finding the Third Proportional to 240,742.13 and 372,569.63

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Solution

The third proportional to 240,742.13 and 372,569.63 is: 576,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,742.13 : 372,569.63 = 372,569.63 : x
  2. Step 2: Convert to fraction form
    240,742.13/372,569.63 = 372,569.63/x
  3. Step 3: Cross multiply
    240,742.13x = 372,569.63 × 372,569.63
  4. Step 4: Simplify right side
    240,742.13x = 138,808,125,472.64
  5. Step 5: Solve for x
    x = 138,808,125,472.64/240,742.13
  6. Step 6: Final answer
    x = 576,584.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.