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Finding the Third Proportional to 599,737.50 and 1,266,813

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Solution

The third proportional to 599,737.50 and 1,266,813 is: 2,675,862.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,737.50 : 1,266,813 = 1,266,813 : x
  2. Step 2: Convert to fraction form
    599,737.50/1,266,813 = 1,266,813/x
  3. Step 3: Cross multiply
    599,737.50x = 1,266,813 × 1,266,813
  4. Step 4: Simplify right side
    599,737.50x = 1,604,815,176,969
  5. Step 5: Solve for x
    x = 1,604,815,176,969/599,737.50
  6. Step 6: Final answer
    x = 2,675,862.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.