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Finding the Third Proportional to 281,970 and 615,388.50

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Solution

The third proportional to 281,970 and 615,388.50 is: 1,343,061.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,970 : 615,388.50 = 615,388.50 : x
  2. Step 2: Convert to fraction form
    281,970/615,388.50 = 615,388.50/x
  3. Step 3: Cross multiply
    281,970x = 615,388.50 × 615,388.50
  4. Step 4: Simplify right side
    281,970x = 378,703,005,932.25
  5. Step 5: Solve for x
    x = 378,703,005,932.25/281,970
  6. Step 6: Final answer
    x = 1,343,061.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.