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Finding the Third Proportional to 287,227 and 613,550

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Solution

The third proportional to 287,227 and 613,550 is: 1,310,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,227 : 613,550 = 613,550 : x
  2. Step 2: Convert to fraction form
    287,227/613,550 = 613,550/x
  3. Step 3: Cross multiply
    287,227x = 613,550 × 613,550
  4. Step 4: Simplify right side
    287,227x = 376,443,602,500
  5. Step 5: Solve for x
    x = 376,443,602,500/287,227
  6. Step 6: Final answer
    x = 1,310,613.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.