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Finding the Third Proportional to 291,564 and 476,097

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Solution

The third proportional to 291,564 and 476,097 is: 777,422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,564 : 476,097 = 476,097 : x
  2. Step 2: Convert to fraction form
    291,564/476,097 = 476,097/x
  3. Step 3: Cross multiply
    291,564x = 476,097 × 476,097
  4. Step 4: Simplify right side
    291,564x = 226,668,353,409
  5. Step 5: Solve for x
    x = 226,668,353,409/291,564
  6. Step 6: Final answer
    x = 777,422.29

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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.