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Finding the Third Proportional to 227,964 and 499,668

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Solution

The third proportional to 227,964 and 499,668 is: 1,095,208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,964 : 499,668 = 499,668 : x
  2. Step 2: Convert to fraction form
    227,964/499,668 = 499,668/x
  3. Step 3: Cross multiply
    227,964x = 499,668 × 499,668
  4. Step 4: Simplify right side
    227,964x = 249,668,110,224
  5. Step 5: Solve for x
    x = 249,668,110,224/227,964
  6. Step 6: Final answer
    x = 1,095,208.50

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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.