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Finding the Third Proportional to 503,698.50 and 760,398.75

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Solution

The third proportional to 503,698.50 and 760,398.75 is: 1,147,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,698.50 : 760,398.75 = 760,398.75 : x
  2. Step 2: Convert to fraction form
    503,698.50/760,398.75 = 760,398.75/x
  3. Step 3: Cross multiply
    503,698.50x = 760,398.75 × 760,398.75
  4. Step 4: Simplify right side
    503,698.50x = 578,206,259,001.56
  5. Step 5: Solve for x
    x = 578,206,259,001.56/503,698.50
  6. Step 6: Final answer
    x = 1,147,921.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.