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Finding the Third Proportional to 262,912 and 571,889

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Solution

The third proportional to 262,912 and 571,889 is: 1,243,979.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,912 : 571,889 = 571,889 : x
  2. Step 2: Convert to fraction form
    262,912/571,889 = 571,889/x
  3. Step 3: Cross multiply
    262,912x = 571,889 × 571,889
  4. Step 4: Simplify right side
    262,912x = 327,057,028,321
  5. Step 5: Solve for x
    x = 327,057,028,321/262,912
  6. Step 6: Final answer
    x = 1,243,979.08

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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.