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Finding the Third Proportional to 569,716.50 and 902,142

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Solution

The third proportional to 569,716.50 and 902,142 is: 1,428,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,716.50 : 902,142 = 902,142 : x
  2. Step 2: Convert to fraction form
    569,716.50/902,142 = 902,142/x
  3. Step 3: Cross multiply
    569,716.50x = 902,142 × 902,142
  4. Step 4: Simplify right side
    569,716.50x = 813,860,188,164
  5. Step 5: Solve for x
    x = 813,860,188,164/569,716.50
  6. Step 6: Final answer
    x = 1,428,535.40

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.