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Finding the Third Proportional to 650,550.75 and 1,409,701.50

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Solution

The third proportional to 650,550.75 and 1,409,701.50 is: 3,054,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,550.75 : 1,409,701.50 = 1,409,701.50 : x
  2. Step 2: Convert to fraction form
    650,550.75/1,409,701.50 = 1,409,701.50/x
  3. Step 3: Cross multiply
    650,550.75x = 1,409,701.50 × 1,409,701.50
  4. Step 4: Simplify right side
    650,550.75x = 1,987,258,319,102.25
  5. Step 5: Solve for x
    x = 1,987,258,319,102.25/650,550.75
  6. Step 6: Final answer
    x = 3,054,732.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.