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Finding the Third Proportional to 248,022 and 534,681

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Solution

The third proportional to 248,022 and 534,681 is: 1,152,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,022 : 534,681 = 534,681 : x
  2. Step 2: Convert to fraction form
    248,022/534,681 = 534,681/x
  3. Step 3: Cross multiply
    248,022x = 534,681 × 534,681
  4. Step 4: Simplify right side
    248,022x = 285,883,771,761
  5. Step 5: Solve for x
    x = 285,883,771,761/248,022
  6. Step 6: Final answer
    x = 1,152,654.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.