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Finding the Third Proportional to 402,810.75 and 876,768.75

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Solution

The third proportional to 402,810.75 and 876,768.75 is: 1,908,398.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,810.75 : 876,768.75 = 876,768.75 : x
  2. Step 2: Convert to fraction form
    402,810.75/876,768.75 = 876,768.75/x
  3. Step 3: Cross multiply
    402,810.75x = 876,768.75 × 876,768.75
  4. Step 4: Simplify right side
    402,810.75x = 768,723,440,976.56
  5. Step 5: Solve for x
    x = 768,723,440,976.56/402,810.75
  6. Step 6: Final answer
    x = 1,908,398.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.