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Finding the Third Proportional to 321,026.63 and 497,770.73

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Solution

The third proportional to 321,026.63 and 497,770.73 is: 771,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,026.63 : 497,770.73 = 497,770.73 : x
  2. Step 2: Convert to fraction form
    321,026.63/497,770.73 = 497,770.73/x
  3. Step 3: Cross multiply
    321,026.63x = 497,770.73 × 497,770.73
  4. Step 4: Simplify right side
    321,026.63x = 247,775,704,000.23
  5. Step 5: Solve for x
    x = 247,775,704,000.23/321,026.63
  6. Step 6: Final answer
    x = 771,822.91

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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.