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Finding the Third Proportional to 519,365 and 797,808

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Solution

The third proportional to 519,365 and 797,808 is: 1,225,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,365 : 797,808 = 797,808 : x
  2. Step 2: Convert to fraction form
    519,365/797,808 = 797,808/x
  3. Step 3: Cross multiply
    519,365x = 797,808 × 797,808
  4. Step 4: Simplify right side
    519,365x = 636,497,604,864
  5. Step 5: Solve for x
    x = 636,497,604,864/519,365
  6. Step 6: Final answer
    x = 1,225,530.42

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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.