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Finding the Third Proportional to 374,282 and 608,138

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Solution

The third proportional to 374,282 and 608,138 is: 988,110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,282 : 608,138 = 608,138 : x
  2. Step 2: Convert to fraction form
    374,282/608,138 = 608,138/x
  3. Step 3: Cross multiply
    374,282x = 608,138 × 608,138
  4. Step 4: Simplify right side
    374,282x = 369,831,827,044
  5. Step 5: Solve for x
    x = 369,831,827,044/374,282
  6. Step 6: Final answer
    x = 988,110.11

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.