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Finding the Third Proportional to 613,453.50 and 1,312,200

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Solution

The third proportional to 613,453.50 and 1,312,200 is: 2,806,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,453.50 : 1,312,200 = 1,312,200 : x
  2. Step 2: Convert to fraction form
    613,453.50/1,312,200 = 1,312,200/x
  3. Step 3: Cross multiply
    613,453.50x = 1,312,200 × 1,312,200
  4. Step 4: Simplify right side
    613,453.50x = 1,721,868,840,000
  5. Step 5: Solve for x
    x = 1,721,868,840,000/613,453.50
  6. Step 6: Final answer
    x = 2,806,844.92

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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.