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Finding the Third Proportional to 467,338 and 700,223

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Solution

The third proportional to 467,338 and 700,223 is: 1,049,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,338 : 700,223 = 700,223 : x
  2. Step 2: Convert to fraction form
    467,338/700,223 = 700,223/x
  3. Step 3: Cross multiply
    467,338x = 700,223 × 700,223
  4. Step 4: Simplify right side
    467,338x = 490,312,249,729
  5. Step 5: Solve for x
    x = 490,312,249,729/467,338
  6. Step 6: Final answer
    x = 1,049,159.82

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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.