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Finding the Third Proportional to 736,249.50 and 1,561,477.50

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Solution

The third proportional to 736,249.50 and 1,561,477.50 is: 3,311,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,249.50 : 1,561,477.50 = 1,561,477.50 : x
  2. Step 2: Convert to fraction form
    736,249.50/1,561,477.50 = 1,561,477.50/x
  3. Step 3: Cross multiply
    736,249.50x = 1,561,477.50 × 1,561,477.50
  4. Step 4: Simplify right side
    736,249.50x = 2,438,211,983,006.25
  5. Step 5: Solve for x
    x = 2,438,211,983,006.25/736,249.50
  6. Step 6: Final answer
    x = 3,311,665.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.