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Finding the Third Proportional to 416,319.75 and 891,749.25

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Solution

The third proportional to 416,319.75 and 891,749.25 is: 1,910,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,319.75 : 891,749.25 = 891,749.25 : x
  2. Step 2: Convert to fraction form
    416,319.75/891,749.25 = 891,749.25/x
  3. Step 3: Cross multiply
    416,319.75x = 891,749.25 × 891,749.25
  4. Step 4: Simplify right side
    416,319.75x = 795,216,724,875.56
  5. Step 5: Solve for x
    x = 795,216,724,875.56/416,319.75
  6. Step 6: Final answer
    x = 1,910,110.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.