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Finding the Third Proportional to 229,484 and 499,795

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Solution

The third proportional to 229,484 and 499,795 is: 1,088,507.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,484 : 499,795 = 499,795 : x
  2. Step 2: Convert to fraction form
    229,484/499,795 = 499,795/x
  3. Step 3: Cross multiply
    229,484x = 499,795 × 499,795
  4. Step 4: Simplify right side
    229,484x = 249,795,042,025
  5. Step 5: Solve for x
    x = 249,795,042,025/229,484
  6. Step 6: Final answer
    x = 1,088,507.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.