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Finding the Third Proportional to 227,526 and 499,768

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Solution

The third proportional to 227,526 and 499,768 is: 1,097,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,526 : 499,768 = 499,768 : x
  2. Step 2: Convert to fraction form
    227,526/499,768 = 499,768/x
  3. Step 3: Cross multiply
    227,526x = 499,768 × 499,768
  4. Step 4: Simplify right side
    227,526x = 249,768,053,824
  5. Step 5: Solve for x
    x = 249,768,053,824/227,526
  6. Step 6: Final answer
    x = 1,097,756.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.