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Finding the Third Proportional to 228,836 and 473,584

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Solution

The third proportional to 228,836 and 473,584 is: 980,098.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,836 : 473,584 = 473,584 : x
  2. Step 2: Convert to fraction form
    228,836/473,584 = 473,584/x
  3. Step 3: Cross multiply
    228,836x = 473,584 × 473,584
  4. Step 4: Simplify right side
    228,836x = 224,281,805,056
  5. Step 5: Solve for x
    x = 224,281,805,056/228,836
  6. Step 6: Final answer
    x = 980,098.43

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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.