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Finding the Third Proportional to 399,744 and 615,052.50

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Solution

The third proportional to 399,744 and 615,052.50 is: 946,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,744 : 615,052.50 = 615,052.50 : x
  2. Step 2: Convert to fraction form
    399,744/615,052.50 = 615,052.50/x
  3. Step 3: Cross multiply
    399,744x = 615,052.50 × 615,052.50
  4. Step 4: Simplify right side
    399,744x = 378,289,577,756.25
  5. Step 5: Solve for x
    x = 378,289,577,756.25/399,744
  6. Step 6: Final answer
    x = 946,329.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.