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Finding the Third Proportional to 348,523 and 762,655

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Solution

The third proportional to 348,523 and 762,655 is: 1,668,878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,523 : 762,655 = 762,655 : x
  2. Step 2: Convert to fraction form
    348,523/762,655 = 762,655/x
  3. Step 3: Cross multiply
    348,523x = 762,655 × 762,655
  4. Step 4: Simplify right side
    348,523x = 581,642,649,025
  5. Step 5: Solve for x
    x = 581,642,649,025/348,523
  6. Step 6: Final answer
    x = 1,668,878.81

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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.