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Finding the Third Proportional to 228,904 and 473,648

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Solution

The third proportional to 228,904 and 473,648 is: 980,072.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,904 : 473,648 = 473,648 : x
  2. Step 2: Convert to fraction form
    228,904/473,648 = 473,648/x
  3. Step 3: Cross multiply
    228,904x = 473,648 × 473,648
  4. Step 4: Simplify right side
    228,904x = 224,342,427,904
  5. Step 5: Solve for x
    x = 224,342,427,904/228,904
  6. Step 6: Final answer
    x = 980,072.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.