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Finding the Third Proportional to 227,862 and 499,466.25

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Solution

The third proportional to 227,862 and 499,466.25 is: 1,094,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,862 : 499,466.25 = 499,466.25 : x
  2. Step 2: Convert to fraction form
    227,862/499,466.25 = 499,466.25/x
  3. Step 3: Cross multiply
    227,862x = 499,466.25 × 499,466.25
  4. Step 4: Simplify right side
    227,862x = 249,466,534,889.06
  5. Step 5: Solve for x
    x = 249,466,534,889.06/227,862
  6. Step 6: Final answer
    x = 1,094,814.12

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