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Finding the Third Proportional to 260,184 and 567,522

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Solution

The third proportional to 260,184 and 567,522 is: 1,237,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,184 : 567,522 = 567,522 : x
  2. Step 2: Convert to fraction form
    260,184/567,522 = 567,522/x
  3. Step 3: Cross multiply
    260,184x = 567,522 × 567,522
  4. Step 4: Simplify right side
    260,184x = 322,081,220,484
  5. Step 5: Solve for x
    x = 322,081,220,484/260,184
  6. Step 6: Final answer
    x = 1,237,897.87

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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.