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Finding the Third Proportional to 524,720 and 766,425

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Solution

The third proportional to 524,720 and 766,425 is: 1,119,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,720 : 766,425 = 766,425 : x
  2. Step 2: Convert to fraction form
    524,720/766,425 = 766,425/x
  3. Step 3: Cross multiply
    524,720x = 766,425 × 766,425
  4. Step 4: Simplify right side
    524,720x = 587,407,280,625
  5. Step 5: Solve for x
    x = 587,407,280,625/524,720
  6. Step 6: Final answer
    x = 1,119,468.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.