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Finding the Third Proportional to 356,178 and 554,691

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Solution

The third proportional to 356,178 and 554,691 is: 863,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,178 : 554,691 = 554,691 : x
  2. Step 2: Convert to fraction form
    356,178/554,691 = 554,691/x
  3. Step 3: Cross multiply
    356,178x = 554,691 × 554,691
  4. Step 4: Simplify right side
    356,178x = 307,682,105,481
  5. Step 5: Solve for x
    x = 307,682,105,481/356,178
  6. Step 6: Final answer
    x = 863,843.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.