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Finding the Third Proportional to 336,661 and 736,663

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Solution

The third proportional to 336,661 and 736,663 is: 1,611,925.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,661 : 736,663 = 736,663 : x
  2. Step 2: Convert to fraction form
    336,661/736,663 = 736,663/x
  3. Step 3: Cross multiply
    336,661x = 736,663 × 736,663
  4. Step 4: Simplify right side
    336,661x = 542,672,375,569
  5. Step 5: Solve for x
    x = 542,672,375,569/336,661
  6. Step 6: Final answer
    x = 1,611,925.28

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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.