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Finding the Third Proportional to 336,681 and 736,722

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Solution

The third proportional to 336,681 and 736,722 is: 1,612,087.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,681 : 736,722 = 736,722 : x
  2. Step 2: Convert to fraction form
    336,681/736,722 = 736,722/x
  3. Step 3: Cross multiply
    336,681x = 736,722 × 736,722
  4. Step 4: Simplify right side
    336,681x = 542,759,305,284
  5. Step 5: Solve for x
    x = 542,759,305,284/336,681
  6. Step 6: Final answer
    x = 1,612,087.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.