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Finding the Third Proportional to 351,816.75 and 829,686.38

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Solution

The third proportional to 351,816.75 and 829,686.38 is: 1,956,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,816.75 : 829,686.38 = 829,686.38 : x
  2. Step 2: Convert to fraction form
    351,816.75/829,686.38 = 829,686.38/x
  3. Step 3: Cross multiply
    351,816.75x = 829,686.38 × 829,686.38
  4. Step 4: Simplify right side
    351,816.75x = 688,379,480,860.64
  5. Step 5: Solve for x
    x = 688,379,480,860.64/351,816.75
  6. Step 6: Final answer
    x = 1,956,642.15

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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.