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Finding the Third Proportional to 286,125 and 442,338

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Solution

The third proportional to 286,125 and 442,338 is: 683,837.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,125 : 442,338 = 442,338 : x
  2. Step 2: Convert to fraction form
    286,125/442,338 = 442,338/x
  3. Step 3: Cross multiply
    286,125x = 442,338 × 442,338
  4. Step 4: Simplify right side
    286,125x = 195,662,906,244
  5. Step 5: Solve for x
    x = 195,662,906,244/286,125
  6. Step 6: Final answer
    x = 683,837.16

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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.