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Finding the Third Proportional to 391,566.25 and 829,461.50

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Solution

The third proportional to 391,566.25 and 829,461.50 is: 1,757,062.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,566.25 : 829,461.50 = 829,461.50 : x
  2. Step 2: Convert to fraction form
    391,566.25/829,461.50 = 829,461.50/x
  3. Step 3: Cross multiply
    391,566.25x = 829,461.50 × 829,461.50
  4. Step 4: Simplify right side
    391,566.25x = 688,006,379,982.25
  5. Step 5: Solve for x
    x = 688,006,379,982.25/391,566.25
  6. Step 6: Final answer
    x = 1,757,062.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.