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Finding the Third Proportional to 351,469 and 766,541

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Solution

The third proportional to 351,469 and 766,541 is: 1,671,797.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,469 : 766,541 = 766,541 : x
  2. Step 2: Convert to fraction form
    351,469/766,541 = 766,541/x
  3. Step 3: Cross multiply
    351,469x = 766,541 × 766,541
  4. Step 4: Simplify right side
    351,469x = 587,585,104,681
  5. Step 5: Solve for x
    x = 587,585,104,681/351,469
  6. Step 6: Final answer
    x = 1,671,797.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.