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Finding the Third Proportional to 582,153.75 and 934,733.25

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Solution

The third proportional to 582,153.75 and 934,733.25 is: 1,500,851.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,153.75 : 934,733.25 = 934,733.25 : x
  2. Step 2: Convert to fraction form
    582,153.75/934,733.25 = 934,733.25/x
  3. Step 3: Cross multiply
    582,153.75x = 934,733.25 × 934,733.25
  4. Step 4: Simplify right side
    582,153.75x = 873,726,248,655.56
  5. Step 5: Solve for x
    x = 873,726,248,655.56/582,153.75
  6. Step 6: Final answer
    x = 1,500,851.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.