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Finding the Third Proportional to 353,200.50 and 756,216

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Solution

The third proportional to 353,200.50 and 756,216 is: 1,619,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,200.50 : 756,216 = 756,216 : x
  2. Step 2: Convert to fraction form
    353,200.50/756,216 = 756,216/x
  3. Step 3: Cross multiply
    353,200.50x = 756,216 × 756,216
  4. Step 4: Simplify right side
    353,200.50x = 571,862,638,656
  5. Step 5: Solve for x
    x = 571,862,638,656/353,200.50
  6. Step 6: Final answer
    x = 1,619,087.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.