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Finding the Third Proportional to 341,216 and 704,288

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Solution

The third proportional to 341,216 and 704,288 is: 1,453,687.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,216 : 704,288 = 704,288 : x
  2. Step 2: Convert to fraction form
    341,216/704,288 = 704,288/x
  3. Step 3: Cross multiply
    341,216x = 704,288 × 704,288
  4. Step 4: Simplify right side
    341,216x = 496,021,586,944
  5. Step 5: Solve for x
    x = 496,021,586,944/341,216
  6. Step 6: Final answer
    x = 1,453,687.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.