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Finding the Third Proportional to 602,029.50 and 819,992.25

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Solution

The third proportional to 602,029.50 and 819,992.25 is: 1,116,867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,029.50 : 819,992.25 = 819,992.25 : x
  2. Step 2: Convert to fraction form
    602,029.50/819,992.25 = 819,992.25/x
  3. Step 3: Cross multiply
    602,029.50x = 819,992.25 × 819,992.25
  4. Step 4: Simplify right side
    602,029.50x = 672,387,290,060.06
  5. Step 5: Solve for x
    x = 672,387,290,060.06/602,029.50
  6. Step 6: Final answer
    x = 1,116,867.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.