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Finding the Third Proportional to 336,381 and 534,916.50

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Solution

The third proportional to 336,381 and 534,916.50 is: 850,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,381 : 534,916.50 = 534,916.50 : x
  2. Step 2: Convert to fraction form
    336,381/534,916.50 = 534,916.50/x
  3. Step 3: Cross multiply
    336,381x = 534,916.50 × 534,916.50
  4. Step 4: Simplify right side
    336,381x = 286,135,661,972.25
  5. Step 5: Solve for x
    x = 286,135,661,972.25/336,381
  6. Step 6: Final answer
    x = 850,629.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.