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Finding the Third Proportional to 240,877.13 and 569,656.13

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Solution

The third proportional to 240,877.13 and 569,656.13 is: 1,347,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,877.13 : 569,656.13 = 569,656.13 : x
  2. Step 2: Convert to fraction form
    240,877.13/569,656.13 = 569,656.13/x
  3. Step 3: Cross multiply
    240,877.13x = 569,656.13 × 569,656.13
  4. Step 4: Simplify right side
    240,877.13x = 324,508,100,750.02
  5. Step 5: Solve for x
    x = 324,508,100,750.02/240,877.13
  6. Step 6: Final answer
    x = 1,347,193.52

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.