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Finding the Third Proportional to 321,024.09 and 497,766.52

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Solution

The third proportional to 321,024.09 and 497,766.52 is: 771,815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,024.09 : 497,766.52 = 497,766.52 : x
  2. Step 2: Convert to fraction form
    321,024.09/497,766.52 = 497,766.52/x
  3. Step 3: Cross multiply
    321,024.09x = 497,766.52 × 497,766.52
  4. Step 4: Simplify right side
    321,024.09x = 247,771,504,077.45
  5. Step 5: Solve for x
    x = 247,771,504,077.45/321,024.09
  6. Step 6: Final answer
    x = 771,815.91

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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.