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Finding the Third Proportional to 356,612 and 524,000

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Solution

The third proportional to 356,612 and 524,000 is: 769,957.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,612 : 524,000 = 524,000 : x
  2. Step 2: Convert to fraction form
    356,612/524,000 = 524,000/x
  3. Step 3: Cross multiply
    356,612x = 524,000 × 524,000
  4. Step 4: Simplify right side
    356,612x = 274,576,000,000
  5. Step 5: Solve for x
    x = 274,576,000,000/356,612
  6. Step 6: Final answer
    x = 769,957.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.