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Finding the Third Proportional to 377,902 and 829,524

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Solution

The third proportional to 377,902 and 829,524 is: 1,820,869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,902 : 829,524 = 829,524 : x
  2. Step 2: Convert to fraction form
    377,902/829,524 = 829,524/x
  3. Step 3: Cross multiply
    377,902x = 829,524 × 829,524
  4. Step 4: Simplify right side
    377,902x = 688,110,066,576
  5. Step 5: Solve for x
    x = 688,110,066,576/377,902
  6. Step 6: Final answer
    x = 1,820,869.08

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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.