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Finding the Third Proportional to 451,890.75 and 700,153.50

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Solution

The third proportional to 451,890.75 and 700,153.50 is: 1,084,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,890.75 : 700,153.50 = 700,153.50 : x
  2. Step 2: Convert to fraction form
    451,890.75/700,153.50 = 700,153.50/x
  3. Step 3: Cross multiply
    451,890.75x = 700,153.50 × 700,153.50
  4. Step 4: Simplify right side
    451,890.75x = 490,214,923,562.25
  5. Step 5: Solve for x
    x = 490,214,923,562.25/451,890.75
  6. Step 6: Final answer
    x = 1,084,808.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.