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Finding the Third Proportional to 351,799.50 and 829,642.50

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Solution

The third proportional to 351,799.50 and 829,642.50 is: 1,956,531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,799.50 : 829,642.50 = 829,642.50 : x
  2. Step 2: Convert to fraction form
    351,799.50/829,642.50 = 829,642.50/x
  3. Step 3: Cross multiply
    351,799.50x = 829,642.50 × 829,642.50
  4. Step 4: Simplify right side
    351,799.50x = 688,306,677,806.25
  5. Step 5: Solve for x
    x = 688,306,677,806.25/351,799.50
  6. Step 6: Final answer
    x = 1,956,531.14

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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.