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Finding the Third Proportional to 524,744 and 829,600

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Solution

The third proportional to 524,744 and 829,600 is: 1,311,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,744 : 829,600 = 829,600 : x
  2. Step 2: Convert to fraction form
    524,744/829,600 = 829,600/x
  3. Step 3: Cross multiply
    524,744x = 829,600 × 829,600
  4. Step 4: Simplify right side
    524,744x = 688,236,160,000
  5. Step 5: Solve for x
    x = 688,236,160,000/524,744
  6. Step 6: Final answer
    x = 1,311,565.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.