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Finding the Third Proportional to 284,426 and 458,175

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Solution

The third proportional to 284,426 and 458,175 is: 738,063.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,426 : 458,175 = 458,175 : x
  2. Step 2: Convert to fraction form
    284,426/458,175 = 458,175/x
  3. Step 3: Cross multiply
    284,426x = 458,175 × 458,175
  4. Step 4: Simplify right side
    284,426x = 209,924,330,625
  5. Step 5: Solve for x
    x = 209,924,330,625/284,426
  6. Step 6: Final answer
    x = 738,063.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.