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Finding the Third Proportional to 353,060 and 522,731.25

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Solution

The third proportional to 353,060 and 522,731.25 is: 773,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,060 : 522,731.25 = 522,731.25 : x
  2. Step 2: Convert to fraction form
    353,060/522,731.25 = 522,731.25/x
  3. Step 3: Cross multiply
    353,060x = 522,731.25 × 522,731.25
  4. Step 4: Simplify right side
    353,060x = 273,247,959,726.56
  5. Step 5: Solve for x
    x = 273,247,959,726.56/353,060
  6. Step 6: Final answer
    x = 773,941.99

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.