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Finding the Third Proportional to 382,525 and 590,243

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Solution

The third proportional to 382,525 and 590,243 is: 910,755.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,525 : 590,243 = 590,243 : x
  2. Step 2: Convert to fraction form
    382,525/590,243 = 590,243/x
  3. Step 3: Cross multiply
    382,525x = 590,243 × 590,243
  4. Step 4: Simplify right side
    382,525x = 348,386,799,049
  5. Step 5: Solve for x
    x = 348,386,799,049/382,525
  6. Step 6: Final answer
    x = 910,755.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.