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Finding the Third Proportional to 524,718 and 766,422

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Solution

The third proportional to 524,718 and 766,422 is: 1,119,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,718 : 766,422 = 766,422 : x
  2. Step 2: Convert to fraction form
    524,718/766,422 = 766,422/x
  3. Step 3: Cross multiply
    524,718x = 766,422 × 766,422
  4. Step 4: Simplify right side
    524,718x = 587,402,682,084
  5. Step 5: Solve for x
    x = 587,402,682,084/524,718
  6. Step 6: Final answer
    x = 1,119,463.56

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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.