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Finding the Third Proportional to 291,664 and 476,259

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Solution

The third proportional to 291,664 and 476,259 is: 777,684.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,664 : 476,259 = 476,259 : x
  2. Step 2: Convert to fraction form
    291,664/476,259 = 476,259/x
  3. Step 3: Cross multiply
    291,664x = 476,259 × 476,259
  4. Step 4: Simplify right side
    291,664x = 226,822,635,081
  5. Step 5: Solve for x
    x = 226,822,635,081/291,664
  6. Step 6: Final answer
    x = 777,684.72

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.