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Finding the Third Proportional to 256,977 and 553,329

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Solution

The third proportional to 256,977 and 553,329 is: 1,191,441.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,977 : 553,329 = 553,329 : x
  2. Step 2: Convert to fraction form
    256,977/553,329 = 553,329/x
  3. Step 3: Cross multiply
    256,977x = 553,329 × 553,329
  4. Step 4: Simplify right side
    256,977x = 306,172,982,241
  5. Step 5: Solve for x
    x = 306,172,982,241/256,977
  6. Step 6: Final answer
    x = 1,191,441.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.