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Finding the Third Proportional to 382,258 and 607,287

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Solution

The third proportional to 382,258 and 607,287 is: 964,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,258 : 607,287 = 607,287 : x
  2. Step 2: Convert to fraction form
    382,258/607,287 = 607,287/x
  3. Step 3: Cross multiply
    382,258x = 607,287 × 607,287
  4. Step 4: Simplify right side
    382,258x = 368,797,500,369
  5. Step 5: Solve for x
    x = 368,797,500,369/382,258
  6. Step 6: Final answer
    x = 964,786.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.