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Finding the Third Proportional to 605,338.50 and 1,273,417.50

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Solution

The third proportional to 605,338.50 and 1,273,417.50 is: 2,678,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,338.50 : 1,273,417.50 = 1,273,417.50 : x
  2. Step 2: Convert to fraction form
    605,338.50/1,273,417.50 = 1,273,417.50/x
  3. Step 3: Cross multiply
    605,338.50x = 1,273,417.50 × 1,273,417.50
  4. Step 4: Simplify right side
    605,338.50x = 1,621,592,129,306.25
  5. Step 5: Solve for x
    x = 1,621,592,129,306.25/605,338.50
  6. Step 6: Final answer
    x = 2,678,818.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.