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Finding the Third Proportional to 228,017 and 499,815

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Solution

The third proportional to 228,017 and 499,815 is: 1,095,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,017 : 499,815 = 499,815 : x
  2. Step 2: Convert to fraction form
    228,017/499,815 = 499,815/x
  3. Step 3: Cross multiply
    228,017x = 499,815 × 499,815
  4. Step 4: Simplify right side
    228,017x = 249,815,034,225
  5. Step 5: Solve for x
    x = 249,815,034,225/228,017
  6. Step 6: Final answer
    x = 1,095,598.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.