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Finding the Third Proportional to 608,205 and 876,099

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Solution

The third proportional to 608,205 and 876,099 is: 1,261,991.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,205 : 876,099 = 876,099 : x
  2. Step 2: Convert to fraction form
    608,205/876,099 = 876,099/x
  3. Step 3: Cross multiply
    608,205x = 876,099 × 876,099
  4. Step 4: Simplify right side
    608,205x = 767,549,457,801
  5. Step 5: Solve for x
    x = 767,549,457,801/608,205
  6. Step 6: Final answer
    x = 1,261,991.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.