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Finding the Third Proportional to 351,524 and 829,472

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Solution

The third proportional to 351,524 and 829,472 is: 1,957,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,524 : 829,472 = 829,472 : x
  2. Step 2: Convert to fraction form
    351,524/829,472 = 829,472/x
  3. Step 3: Cross multiply
    351,524x = 829,472 × 829,472
  4. Step 4: Simplify right side
    351,524x = 688,023,798,784
  5. Step 5: Solve for x
    x = 688,023,798,784/351,524
  6. Step 6: Final answer
    x = 1,957,259.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.