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Finding the Third Proportional to 348,534 and 762,676

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Solution

The third proportional to 348,534 and 762,676 is: 1,668,918.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,534 : 762,676 = 762,676 : x
  2. Step 2: Convert to fraction form
    348,534/762,676 = 762,676/x
  3. Step 3: Cross multiply
    348,534x = 762,676 × 762,676
  4. Step 4: Simplify right side
    348,534x = 581,674,680,976
  5. Step 5: Solve for x
    x = 581,674,680,976/348,534
  6. Step 6: Final answer
    x = 1,668,918.04

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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.