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Finding the Third Proportional to 578,308.50 and 1,253,142

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Solution

The third proportional to 578,308.50 and 1,253,142 is: 2,715,444.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,308.50 : 1,253,142 = 1,253,142 : x
  2. Step 2: Convert to fraction form
    578,308.50/1,253,142 = 1,253,142/x
  3. Step 3: Cross multiply
    578,308.50x = 1,253,142 × 1,253,142
  4. Step 4: Simplify right side
    578,308.50x = 1,570,364,872,164
  5. Step 5: Solve for x
    x = 1,570,364,872,164/578,308.50
  6. Step 6: Final answer
    x = 2,715,444.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.