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Finding the Third Proportional to 318,284 and 446,178

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Solution

The third proportional to 318,284 and 446,178 is: 625,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,284 : 446,178 = 446,178 : x
  2. Step 2: Convert to fraction form
    318,284/446,178 = 446,178/x
  3. Step 3: Cross multiply
    318,284x = 446,178 × 446,178
  4. Step 4: Simplify right side
    318,284x = 199,074,807,684
  5. Step 5: Solve for x
    x = 199,074,807,684/318,284
  6. Step 6: Final answer
    x = 625,462.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.