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Finding the Third Proportional to 314,018 and 474,099

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Solution

The third proportional to 314,018 and 474,099 is: 715,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,018 : 474,099 = 474,099 : x
  2. Step 2: Convert to fraction form
    314,018/474,099 = 474,099/x
  3. Step 3: Cross multiply
    314,018x = 474,099 × 474,099
  4. Step 4: Simplify right side
    314,018x = 224,769,861,801
  5. Step 5: Solve for x
    x = 224,769,861,801/314,018
  6. Step 6: Final answer
    x = 715,786.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.