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Finding the Third Proportional to 276,342 and 405,445.50

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Solution

The third proportional to 276,342 and 405,445.50 is: 594,864.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,342 : 405,445.50 = 405,445.50 : x
  2. Step 2: Convert to fraction form
    276,342/405,445.50 = 405,445.50/x
  3. Step 3: Cross multiply
    276,342x = 405,445.50 × 405,445.50
  4. Step 4: Simplify right side
    276,342x = 164,386,053,470.25
  5. Step 5: Solve for x
    x = 164,386,053,470.25/276,342
  6. Step 6: Final answer
    x = 594,864.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.