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Finding the Third Proportional to 287,226 and 613,548

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Solution

The third proportional to 287,226 and 613,548 is: 1,310,609.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,226 : 613,548 = 613,548 : x
  2. Step 2: Convert to fraction form
    287,226/613,548 = 613,548/x
  3. Step 3: Cross multiply
    287,226x = 613,548 × 613,548
  4. Step 4: Simplify right side
    287,226x = 376,441,148,304
  5. Step 5: Solve for x
    x = 376,441,148,304/287,226
  6. Step 6: Final answer
    x = 1,310,609.58

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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.