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Finding the Third Proportional to 498,768.75 and 773,884.13

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Solution

The third proportional to 498,768.75 and 773,884.13 is: 1,200,750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,768.75 : 773,884.13 = 773,884.13 : x
  2. Step 2: Convert to fraction form
    498,768.75/773,884.13 = 773,884.13/x
  3. Step 3: Cross multiply
    498,768.75x = 773,884.13 × 773,884.13
  4. Step 4: Simplify right side
    498,768.75x = 598,896,638,927.02
  5. Step 5: Solve for x
    x = 598,896,638,927.02/498,768.75
  6. Step 6: Final answer
    x = 1,200,750.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.