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Finding the Third Proportional to 508,119.75 and 760,493.25

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Solution

The third proportional to 508,119.75 and 760,493.25 is: 1,138,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,119.75 : 760,493.25 = 760,493.25 : x
  2. Step 2: Convert to fraction form
    508,119.75/760,493.25 = 760,493.25/x
  3. Step 3: Cross multiply
    508,119.75x = 760,493.25 × 760,493.25
  4. Step 4: Simplify right side
    508,119.75x = 578,349,983,295.56
  5. Step 5: Solve for x
    x = 578,349,983,295.56/508,119.75
  6. Step 6: Final answer
    x = 1,138,215.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.