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Finding the Third Proportional to 376,528.88 and 827,689.13

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Solution

The third proportional to 376,528.88 and 827,689.13 is: 1,819,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,528.88 : 827,689.13 = 827,689.13 : x
  2. Step 2: Convert to fraction form
    376,528.88/827,689.13 = 827,689.13/x
  3. Step 3: Cross multiply
    376,528.88x = 827,689.13 × 827,689.13
  4. Step 4: Simplify right side
    376,528.88x = 685,069,287,643.27
  5. Step 5: Solve for x
    x = 685,069,287,643.27/376,528.88
  6. Step 6: Final answer
    x = 1,819,433.60

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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.