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Finding the Third Proportional to 264,028.50 and 567,862

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Solution

The third proportional to 264,028.50 and 567,862 is: 1,221,335.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,028.50 : 567,862 = 567,862 : x
  2. Step 2: Convert to fraction form
    264,028.50/567,862 = 567,862/x
  3. Step 3: Cross multiply
    264,028.50x = 567,862 × 567,862
  4. Step 4: Simplify right side
    264,028.50x = 322,467,251,044
  5. Step 5: Solve for x
    x = 322,467,251,044/264,028.50
  6. Step 6: Final answer
    x = 1,221,335.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.