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Finding the Third Proportional to 320,845.50 and 448,587

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Solution

The third proportional to 320,845.50 and 448,587 is: 627,187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,845.50 : 448,587 = 448,587 : x
  2. Step 2: Convert to fraction form
    320,845.50/448,587 = 448,587/x
  3. Step 3: Cross multiply
    320,845.50x = 448,587 × 448,587
  4. Step 4: Simplify right side
    320,845.50x = 201,230,296,569
  5. Step 5: Solve for x
    x = 201,230,296,569/320,845.50
  6. Step 6: Final answer
    x = 627,187.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.