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Finding the Third Proportional to 321,027 and 497,770.50

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Solution

The third proportional to 321,027 and 497,770.50 is: 771,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,027 : 497,770.50 = 497,770.50 : x
  2. Step 2: Convert to fraction form
    321,027/497,770.50 = 497,770.50/x
  3. Step 3: Cross multiply
    321,027x = 497,770.50 × 497,770.50
  4. Step 4: Simplify right side
    321,027x = 247,775,470,670.25
  5. Step 5: Solve for x
    x = 247,775,470,670.25/321,027
  6. Step 6: Final answer
    x = 771,821.28

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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.