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Finding the Third Proportional to 315,134 and 453,016

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Solution

The third proportional to 315,134 and 453,016 is: 651,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,134 : 453,016 = 453,016 : x
  2. Step 2: Convert to fraction form
    315,134/453,016 = 453,016/x
  3. Step 3: Cross multiply
    315,134x = 453,016 × 453,016
  4. Step 4: Simplify right side
    315,134x = 205,223,496,256
  5. Step 5: Solve for x
    x = 205,223,496,256/315,134
  6. Step 6: Final answer
    x = 651,226.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.