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Finding the Third Proportional to 278,576.50 and 601,487

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Solution

The third proportional to 278,576.50 and 601,487 is: 1,298,697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,576.50 : 601,487 = 601,487 : x
  2. Step 2: Convert to fraction form
    278,576.50/601,487 = 601,487/x
  3. Step 3: Cross multiply
    278,576.50x = 601,487 × 601,487
  4. Step 4: Simplify right side
    278,576.50x = 361,786,611,169
  5. Step 5: Solve for x
    x = 361,786,611,169/278,576.50
  6. Step 6: Final answer
    x = 1,298,697.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.