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Finding the Third Proportional to 491,541.75 and 740,782.13

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Solution

The third proportional to 491,541.75 and 740,782.13 is: 1,116,401.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,541.75 : 740,782.13 = 740,782.13 : x
  2. Step 2: Convert to fraction form
    491,541.75/740,782.13 = 740,782.13/x
  3. Step 3: Cross multiply
    491,541.75x = 740,782.13 × 740,782.13
  4. Step 4: Simplify right side
    491,541.75x = 548,758,156,719.52
  5. Step 5: Solve for x
    x = 548,758,156,719.52/491,541.75
  6. Step 6: Final answer
    x = 1,116,401.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.