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Finding the Third Proportional to 662,242.50 and 1,019,199.38

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Solution

The third proportional to 662,242.50 and 1,019,199.38 is: 1,568,560.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,242.50 : 1,019,199.38 = 1,019,199.38 : x
  2. Step 2: Convert to fraction form
    662,242.50/1,019,199.38 = 1,019,199.38/x
  3. Step 3: Cross multiply
    662,242.50x = 1,019,199.38 × 1,019,199.38
  4. Step 4: Simplify right side
    662,242.50x = 1,038,767,366,000.39
  5. Step 5: Solve for x
    x = 1,038,767,366,000.39/662,242.50
  6. Step 6: Final answer
    x = 1,568,560.41

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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.