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Finding the Third Proportional to 338,300 and 736,872

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Solution

The third proportional to 338,300 and 736,872 is: 1,605,026.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,300 : 736,872 = 736,872 : x
  2. Step 2: Convert to fraction form
    338,300/736,872 = 736,872/x
  3. Step 3: Cross multiply
    338,300x = 736,872 × 736,872
  4. Step 4: Simplify right side
    338,300x = 542,980,344,384
  5. Step 5: Solve for x
    x = 542,980,344,384/338,300
  6. Step 6: Final answer
    x = 1,605,026.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.