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Finding the Third Proportional to 519,831 and 650,710.13

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Solution

The third proportional to 519,831 and 650,710.13 is: 814,541.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,831 : 650,710.13 = 650,710.13 : x
  2. Step 2: Convert to fraction form
    519,831/650,710.13 = 650,710.13/x
  3. Step 3: Cross multiply
    519,831x = 650,710.13 × 650,710.13
  4. Step 4: Simplify right side
    519,831x = 423,423,666,777.52
  5. Step 5: Solve for x
    x = 423,423,666,777.52/519,831
  6. Step 6: Final answer
    x = 814,541.01

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.