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Finding the Third Proportional to 463,273.50 and 690,862.50

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Solution

The third proportional to 463,273.50 and 690,862.50 is: 1,030,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,273.50 : 690,862.50 = 690,862.50 : x
  2. Step 2: Convert to fraction form
    463,273.50/690,862.50 = 690,862.50/x
  3. Step 3: Cross multiply
    463,273.50x = 690,862.50 × 690,862.50
  4. Step 4: Simplify right side
    463,273.50x = 477,290,993,906.25
  5. Step 5: Solve for x
    x = 477,290,993,906.25/463,273.50
  6. Step 6: Final answer
    x = 1,030,257.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.