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Finding the Third Proportional to 238,900 and 500,804

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Solution

The third proportional to 238,900 and 500,804 is: 1,049,831.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,900 : 500,804 = 500,804 : x
  2. Step 2: Convert to fraction form
    238,900/500,804 = 500,804/x
  3. Step 3: Cross multiply
    238,900x = 500,804 × 500,804
  4. Step 4: Simplify right side
    238,900x = 250,804,646,416
  5. Step 5: Solve for x
    x = 250,804,646,416/238,900
  6. Step 6: Final answer
    x = 1,049,831.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.