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Finding the Third Proportional to 519,412.50 and 797,844.94

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Solution

The third proportional to 519,412.50 and 797,844.94 is: 1,225,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,412.50 : 797,844.94 = 797,844.94 : x
  2. Step 2: Convert to fraction form
    519,412.50/797,844.94 = 797,844.94/x
  3. Step 3: Cross multiply
    519,412.50x = 797,844.94 × 797,844.94
  4. Step 4: Simplify right side
    519,412.50x = 636,556,544,294.38
  5. Step 5: Solve for x
    x = 636,556,544,294.38/519,412.50
  6. Step 6: Final answer
    x = 1,225,531.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.