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Finding the Third Proportional to 531,451.50 and 807,018

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Solution

The third proportional to 531,451.50 and 807,018 is: 1,225,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,451.50 : 807,018 = 807,018 : x
  2. Step 2: Convert to fraction form
    531,451.50/807,018 = 807,018/x
  3. Step 3: Cross multiply
    531,451.50x = 807,018 × 807,018
  4. Step 4: Simplify right side
    531,451.50x = 651,278,052,324
  5. Step 5: Solve for x
    x = 651,278,052,324/531,451.50
  6. Step 6: Final answer
    x = 1,225,470.34

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.