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Finding the Third Proportional to 348,536 and 762,680

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Solution

The third proportional to 348,536 and 762,680 is: 1,668,925.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,536 : 762,680 = 762,680 : x
  2. Step 2: Convert to fraction form
    348,536/762,680 = 762,680/x
  3. Step 3: Cross multiply
    348,536x = 762,680 × 762,680
  4. Step 4: Simplify right side
    348,536x = 581,680,782,400
  5. Step 5: Solve for x
    x = 581,680,782,400/348,536
  6. Step 6: Final answer
    x = 1,668,925.97

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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.