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Finding the Third Proportional to 264,510 and 402,981.75

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Solution

The third proportional to 264,510 and 402,981.75 is: 613,943.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,510 : 402,981.75 = 402,981.75 : x
  2. Step 2: Convert to fraction form
    264,510/402,981.75 = 402,981.75/x
  3. Step 3: Cross multiply
    264,510x = 402,981.75 × 402,981.75
  4. Step 4: Simplify right side
    264,510x = 162,394,290,833.06
  5. Step 5: Solve for x
    x = 162,394,290,833.06/264,510
  6. Step 6: Final answer
    x = 613,943.86

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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.