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Finding the Third Proportional to 315,086 and 470,568

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Solution

The third proportional to 315,086 and 470,568 is: 702,773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,086 : 470,568 = 470,568 : x
  2. Step 2: Convert to fraction form
    315,086/470,568 = 470,568/x
  3. Step 3: Cross multiply
    315,086x = 470,568 × 470,568
  4. Step 4: Simplify right side
    315,086x = 221,434,242,624
  5. Step 5: Solve for x
    x = 221,434,242,624/315,086
  6. Step 6: Final answer
    x = 702,773.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.