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Finding the Third Proportional to 315,037 and 474,814

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Solution

The third proportional to 315,037 and 474,814 is: 715,624.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,037 : 474,814 = 474,814 : x
  2. Step 2: Convert to fraction form
    315,037/474,814 = 474,814/x
  3. Step 3: Cross multiply
    315,037x = 474,814 × 474,814
  4. Step 4: Simplify right side
    315,037x = 225,448,334,596
  5. Step 5: Solve for x
    x = 225,448,334,596/315,037
  6. Step 6: Final answer
    x = 715,624.94

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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.