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Finding the Third Proportional to 301,448 and 466,338

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Solution

The third proportional to 301,448 and 466,338 is: 721,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,448 : 466,338 = 466,338 : x
  2. Step 2: Convert to fraction form
    301,448/466,338 = 466,338/x
  3. Step 3: Cross multiply
    301,448x = 466,338 × 466,338
  4. Step 4: Simplify right side
    301,448x = 217,471,130,244
  5. Step 5: Solve for x
    x = 217,471,130,244/301,448
  6. Step 6: Final answer
    x = 721,421.71

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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.