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Finding the Third Proportional to 260,088 and 567,808

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Solution

The third proportional to 260,088 and 567,808 is: 1,239,603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,088 : 567,808 = 567,808 : x
  2. Step 2: Convert to fraction form
    260,088/567,808 = 567,808/x
  3. Step 3: Cross multiply
    260,088x = 567,808 × 567,808
  4. Step 4: Simplify right side
    260,088x = 322,405,924,864
  5. Step 5: Solve for x
    x = 322,405,924,864/260,088
  6. Step 6: Final answer
    x = 1,239,603.23

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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.