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Finding the Third Proportional to 736,267.50 and 1,131,313.50

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Solution

The third proportional to 736,267.50 and 1,131,313.50 is: 1,738,322.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,267.50 : 1,131,313.50 = 1,131,313.50 : x
  2. Step 2: Convert to fraction form
    736,267.50/1,131,313.50 = 1,131,313.50/x
  3. Step 3: Cross multiply
    736,267.50x = 1,131,313.50 × 1,131,313.50
  4. Step 4: Simplify right side
    736,267.50x = 1,279,870,235,282.25
  5. Step 5: Solve for x
    x = 1,279,870,235,282.25/736,267.50
  6. Step 6: Final answer
    x = 1,738,322.33

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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.