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Finding the Third Proportional to 227,804 and 499,486

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Solution

The third proportional to 227,804 and 499,486 is: 1,095,179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,804 : 499,486 = 499,486 : x
  2. Step 2: Convert to fraction form
    227,804/499,486 = 499,486/x
  3. Step 3: Cross multiply
    227,804x = 499,486 × 499,486
  4. Step 4: Simplify right side
    227,804x = 249,486,264,196
  5. Step 5: Solve for x
    x = 249,486,264,196/227,804
  6. Step 6: Final answer
    x = 1,095,179.47

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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.