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Finding the Third Proportional to 336,682 and 736,706

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Solution

The third proportional to 336,682 and 736,706 is: 1,612,012.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,682 : 736,706 = 736,706 : x
  2. Step 2: Convert to fraction form
    336,682/736,706 = 736,706/x
  3. Step 3: Cross multiply
    336,682x = 736,706 × 736,706
  4. Step 4: Simplify right side
    336,682x = 542,735,730,436
  5. Step 5: Solve for x
    x = 542,735,730,436/336,682
  6. Step 6: Final answer
    x = 1,612,012.91

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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.