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Finding the Third Proportional to 369,751.50 and 558,643.50

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Solution

The third proportional to 369,751.50 and 558,643.50 is: 844,033.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,751.50 : 558,643.50 = 558,643.50 : x
  2. Step 2: Convert to fraction form
    369,751.50/558,643.50 = 558,643.50/x
  3. Step 3: Cross multiply
    369,751.50x = 558,643.50 × 558,643.50
  4. Step 4: Simplify right side
    369,751.50x = 312,082,560,092.25
  5. Step 5: Solve for x
    x = 312,082,560,092.25/369,751.50
  6. Step 6: Final answer
    x = 844,033.25

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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.