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Finding the Third Proportional to 240,819 and 375,016.50

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Solution

The third proportional to 240,819 and 375,016.50 is: 583,996.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,819 : 375,016.50 = 375,016.50 : x
  2. Step 2: Convert to fraction form
    240,819/375,016.50 = 375,016.50/x
  3. Step 3: Cross multiply
    240,819x = 375,016.50 × 375,016.50
  4. Step 4: Simplify right side
    240,819x = 140,637,375,272.25
  5. Step 5: Solve for x
    x = 140,637,375,272.25/240,819
  6. Step 6: Final answer
    x = 583,996.18

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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.