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Finding the Third Proportional to 288,248.31 and 421,262.33

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Solution

The third proportional to 288,248.31 and 421,262.33 is: 615,656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,248.31 : 421,262.33 = 421,262.33 : x
  2. Step 2: Convert to fraction form
    288,248.31/421,262.33 = 421,262.33/x
  3. Step 3: Cross multiply
    288,248.31x = 421,262.33 × 421,262.33
  4. Step 4: Simplify right side
    288,248.31x = 177,461,952,388.41
  5. Step 5: Solve for x
    x = 177,461,952,388.41/288,248.31
  6. Step 6: Final answer
    x = 615,656.53

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.