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Finding the Third Proportional to 467,281.88 and 700,144.70

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Solution

The third proportional to 467,281.88 and 700,144.70 is: 1,049,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,281.88 : 700,144.70 = 700,144.70 : x
  2. Step 2: Convert to fraction form
    467,281.88/700,144.70 = 700,144.70/x
  3. Step 3: Cross multiply
    467,281.88x = 700,144.70 × 700,144.70
  4. Step 4: Simplify right side
    467,281.88x = 490,202,599,844.11
  5. Step 5: Solve for x
    x = 490,202,599,844.11/467,281.88
  6. Step 6: Final answer
    x = 1,049,051.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.