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Finding the Third Proportional to 377,524 and 829,648

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Solution

The third proportional to 377,524 and 829,648 is: 1,823,237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,524 : 829,648 = 829,648 : x
  2. Step 2: Convert to fraction form
    377,524/829,648 = 829,648/x
  3. Step 3: Cross multiply
    377,524x = 829,648 × 829,648
  4. Step 4: Simplify right side
    377,524x = 688,315,803,904
  5. Step 5: Solve for x
    x = 688,315,803,904/377,524
  6. Step 6: Final answer
    x = 1,823,237.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.