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Finding the Third Proportional to 374,863.50 and 816,282

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Solution

The third proportional to 374,863.50 and 816,282 is: 1,777,490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,863.50 : 816,282 = 816,282 : x
  2. Step 2: Convert to fraction form
    374,863.50/816,282 = 816,282/x
  3. Step 3: Cross multiply
    374,863.50x = 816,282 × 816,282
  4. Step 4: Simplify right side
    374,863.50x = 666,316,303,524
  5. Step 5: Solve for x
    x = 666,316,303,524/374,863.50
  6. Step 6: Final answer
    x = 1,777,490.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.