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Finding the Third Proportional to 294,037.50 and 439,881

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Solution

The third proportional to 294,037.50 and 439,881 is: 658,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,037.50 : 439,881 = 439,881 : x
  2. Step 2: Convert to fraction form
    294,037.50/439,881 = 439,881/x
  3. Step 3: Cross multiply
    294,037.50x = 439,881 × 439,881
  4. Step 4: Simplify right side
    294,037.50x = 193,495,294,161
  5. Step 5: Solve for x
    x = 193,495,294,161/294,037.50
  6. Step 6: Final answer
    x = 658,063.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.