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Finding the Third Proportional to 513,359.16 and 798,039.84

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Solution

The third proportional to 513,359.16 and 798,039.84 is: 1,240,588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,359.16 : 798,039.84 = 798,039.84 : x
  2. Step 2: Convert to fraction form
    513,359.16/798,039.84 = 798,039.84/x
  3. Step 3: Cross multiply
    513,359.16x = 798,039.84 × 798,039.84
  4. Step 4: Simplify right side
    513,359.16x = 636,867,592,212.52
  5. Step 5: Solve for x
    x = 636,867,592,212.52/513,359.16
  6. Step 6: Final answer
    x = 1,240,588.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.