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Finding the Third Proportional to 336,324 and 735,780

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Solution

The third proportional to 336,324 and 735,780 is: 1,609,674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,324 : 735,780 = 735,780 : x
  2. Step 2: Convert to fraction form
    336,324/735,780 = 735,780/x
  3. Step 3: Cross multiply
    336,324x = 735,780 × 735,780
  4. Step 4: Simplify right side
    336,324x = 541,372,208,400
  5. Step 5: Solve for x
    x = 541,372,208,400/336,324
  6. Step 6: Final answer
    x = 1,609,674.62

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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.