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Finding the Third Proportional to 228,017 and 499,814.50

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Solution

The third proportional to 228,017 and 499,814.50 is: 1,095,596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,017 : 499,814.50 = 499,814.50 : x
  2. Step 2: Convert to fraction form
    228,017/499,814.50 = 499,814.50/x
  3. Step 3: Cross multiply
    228,017x = 499,814.50 × 499,814.50
  4. Step 4: Simplify right side
    228,017x = 249,814,534,410.25
  5. Step 5: Solve for x
    x = 249,814,534,410.25/228,017
  6. Step 6: Final answer
    x = 1,095,596.09

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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.