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Finding the Third Proportional to 486,110.50 and 760,828

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Solution

The third proportional to 486,110.50 and 760,828 is: 1,190,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,110.50 : 760,828 = 760,828 : x
  2. Step 2: Convert to fraction form
    486,110.50/760,828 = 760,828/x
  3. Step 3: Cross multiply
    486,110.50x = 760,828 × 760,828
  4. Step 4: Simplify right side
    486,110.50x = 578,859,245,584
  5. Step 5: Solve for x
    x = 578,859,245,584/486,110.50
  6. Step 6: Final answer
    x = 1,190,797.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.