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Finding the Third Proportional to 524,809.13 and 743,230.69

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Solution

The third proportional to 524,809.13 and 743,230.69 is: 1,052,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,809.13 : 743,230.69 = 743,230.69 : x
  2. Step 2: Convert to fraction form
    524,809.13/743,230.69 = 743,230.69/x
  3. Step 3: Cross multiply
    524,809.13x = 743,230.69 × 743,230.69
  4. Step 4: Simplify right side
    524,809.13x = 552,391,854,841.72
  5. Step 5: Solve for x
    x = 552,391,854,841.72/524,809.13
  6. Step 6: Final answer
    x = 1,052,557.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.