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Finding the Third Proportional to 321,025.50 and 497,769

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Solution

The third proportional to 321,025.50 and 497,769 is: 771,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,025.50 : 497,769 = 497,769 : x
  2. Step 2: Convert to fraction form
    321,025.50/497,769 = 497,769/x
  3. Step 3: Cross multiply
    321,025.50x = 497,769 × 497,769
  4. Step 4: Simplify right side
    321,025.50x = 247,773,977,361
  5. Step 5: Solve for x
    x = 247,773,977,361/321,025.50
  6. Step 6: Final answer
    x = 771,820.24

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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.