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Finding the Third Proportional to 467,402 and 700,311

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Solution

The third proportional to 467,402 and 700,311 is: 1,049,279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,402 : 700,311 = 700,311 : x
  2. Step 2: Convert to fraction form
    467,402/700,311 = 700,311/x
  3. Step 3: Cross multiply
    467,402x = 700,311 × 700,311
  4. Step 4: Simplify right side
    467,402x = 490,435,496,721
  5. Step 5: Solve for x
    x = 490,435,496,721/467,402
  6. Step 6: Final answer
    x = 1,049,279.84

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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.