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Finding the Third Proportional to 608,201 and 876,094

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Solution

The third proportional to 608,201 and 876,094 is: 1,261,985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,201 : 876,094 = 876,094 : x
  2. Step 2: Convert to fraction form
    608,201/876,094 = 876,094/x
  3. Step 3: Cross multiply
    608,201x = 876,094 × 876,094
  4. Step 4: Simplify right side
    608,201x = 767,540,696,836
  5. Step 5: Solve for x
    x = 767,540,696,836/608,201
  6. Step 6: Final answer
    x = 1,261,985.26

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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.