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Finding the Third Proportional to 240,909.75 and 374,703.75

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Solution

The third proportional to 240,909.75 and 374,703.75 is: 582,802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,909.75 : 374,703.75 = 374,703.75 : x
  2. Step 2: Convert to fraction form
    240,909.75/374,703.75 = 374,703.75/x
  3. Step 3: Cross multiply
    240,909.75x = 374,703.75 × 374,703.75
  4. Step 4: Simplify right side
    240,909.75x = 140,402,900,264.06
  5. Step 5: Solve for x
    x = 140,402,900,264.06/240,909.75
  6. Step 6: Final answer
    x = 582,802.90

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.