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Finding the Third Proportional to 384,466.50 and 591,759

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Solution

The third proportional to 384,466.50 and 591,759 is: 910,817.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,466.50 : 591,759 = 591,759 : x
  2. Step 2: Convert to fraction form
    384,466.50/591,759 = 591,759/x
  3. Step 3: Cross multiply
    384,466.50x = 591,759 × 591,759
  4. Step 4: Simplify right side
    384,466.50x = 350,178,714,081
  5. Step 5: Solve for x
    x = 350,178,714,081/384,466.50
  6. Step 6: Final answer
    x = 910,817.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.