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Finding the Third Proportional to 524,578.50 and 769,654.50

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Solution

The third proportional to 524,578.50 and 769,654.50 is: 1,129,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,578.50 : 769,654.50 = 769,654.50 : x
  2. Step 2: Convert to fraction form
    524,578.50/769,654.50 = 769,654.50/x
  3. Step 3: Cross multiply
    524,578.50x = 769,654.50 × 769,654.50
  4. Step 4: Simplify right side
    524,578.50x = 592,368,049,370.25
  5. Step 5: Solve for x
    x = 592,368,049,370.25/524,578.50
  6. Step 6: Final answer
    x = 1,129,226.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.