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Finding the Third Proportional to 301,457 and 466,568

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Solution

The third proportional to 301,457 and 466,568 is: 722,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,457 : 466,568 = 466,568 : x
  2. Step 2: Convert to fraction form
    301,457/466,568 = 466,568/x
  3. Step 3: Cross multiply
    301,457x = 466,568 × 466,568
  4. Step 4: Simplify right side
    301,457x = 217,685,698,624
  5. Step 5: Solve for x
    x = 217,685,698,624/301,457
  6. Step 6: Final answer
    x = 722,111.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.