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Finding the Third Proportional to 228,904 and 498,478

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Solution

The third proportional to 228,904 and 498,478 is: 1,085,521.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,904 : 498,478 = 498,478 : x
  2. Step 2: Convert to fraction form
    228,904/498,478 = 498,478/x
  3. Step 3: Cross multiply
    228,904x = 498,478 × 498,478
  4. Step 4: Simplify right side
    228,904x = 248,480,316,484
  5. Step 5: Solve for x
    x = 248,480,316,484/228,904
  6. Step 6: Final answer
    x = 1,085,521.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.