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Finding the Third Proportional to 336,674 and 736,690

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Solution

The third proportional to 336,674 and 736,690 is: 1,611,981.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,674 : 736,690 = 736,690 : x
  2. Step 2: Convert to fraction form
    336,674/736,690 = 736,690/x
  3. Step 3: Cross multiply
    336,674x = 736,690 × 736,690
  4. Step 4: Simplify right side
    336,674x = 542,712,156,100
  5. Step 5: Solve for x
    x = 542,712,156,100/336,674
  6. Step 6: Final answer
    x = 1,611,981.19

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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.