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Finding the Third Proportional to 291,724 and 476,352

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Solution

The third proportional to 291,724 and 476,352 is: 777,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,724 : 476,352 = 476,352 : x
  2. Step 2: Convert to fraction form
    291,724/476,352 = 476,352/x
  3. Step 3: Cross multiply
    291,724x = 476,352 × 476,352
  4. Step 4: Simplify right side
    291,724x = 226,911,227,904
  5. Step 5: Solve for x
    x = 226,911,227,904/291,724
  6. Step 6: Final answer
    x = 777,828.45

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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.