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Finding the Third Proportional to 339,633 and 726,823.13

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Solution

The third proportional to 339,633 and 726,823.13 is: 1,555,419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,633 : 726,823.13 = 726,823.13 : x
  2. Step 2: Convert to fraction form
    339,633/726,823.13 = 726,823.13/x
  3. Step 3: Cross multiply
    339,633x = 726,823.13 × 726,823.13
  4. Step 4: Simplify right side
    339,633x = 528,271,855,034.77
  5. Step 5: Solve for x
    x = 528,271,855,034.77/339,633
  6. Step 6: Final answer
    x = 1,555,419.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.