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Finding the Third Proportional to 497,821.50 and 1,170,186.75

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Solution

The third proportional to 497,821.50 and 1,170,186.75 is: 2,750,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,821.50 : 1,170,186.75 = 1,170,186.75 : x
  2. Step 2: Convert to fraction form
    497,821.50/1,170,186.75 = 1,170,186.75/x
  3. Step 3: Cross multiply
    497,821.50x = 1,170,186.75 × 1,170,186.75
  4. Step 4: Simplify right side
    497,821.50x = 1,369,337,029,875.56
  5. Step 5: Solve for x
    x = 1,369,337,029,875.56/497,821.50
  6. Step 6: Final answer
    x = 2,750,658.68

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.