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Finding the Third Proportional to 368,954 and 564,138

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Solution

The third proportional to 368,954 and 564,138 is: 862,578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,954 : 564,138 = 564,138 : x
  2. Step 2: Convert to fraction form
    368,954/564,138 = 564,138/x
  3. Step 3: Cross multiply
    368,954x = 564,138 × 564,138
  4. Step 4: Simplify right side
    368,954x = 318,251,683,044
  5. Step 5: Solve for x
    x = 318,251,683,044/368,954
  6. Step 6: Final answer
    x = 862,578.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.