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Finding the Third Proportional to 377,524.13 and 829,649.25

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Solution

The third proportional to 377,524.13 and 829,649.25 is: 1,823,242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,524.13 : 829,649.25 = 829,649.25 : x
  2. Step 2: Convert to fraction form
    377,524.13/829,649.25 = 829,649.25/x
  3. Step 3: Cross multiply
    377,524.13x = 829,649.25 × 829,649.25
  4. Step 4: Simplify right side
    377,524.13x = 688,317,878,025.56
  5. Step 5: Solve for x
    x = 688,317,878,025.56/377,524.13
  6. Step 6: Final answer
    x = 1,823,242.10

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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.