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Finding the Third Proportional to 343,589.63 and 524,269.13

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Solution

The third proportional to 343,589.63 and 524,269.13 is: 799,960.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,589.63 : 524,269.13 = 524,269.13 : x
  2. Step 2: Convert to fraction form
    343,589.63/524,269.13 = 524,269.13/x
  3. Step 3: Cross multiply
    343,589.63x = 524,269.13 × 524,269.13
  4. Step 4: Simplify right side
    343,589.63x = 274,858,115,428.27
  5. Step 5: Solve for x
    x = 274,858,115,428.27/343,589.63
  6. Step 6: Final answer
    x = 799,960.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.