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Finding the Third Proportional to 369,583.50 and 485,280.75

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Solution

The third proportional to 369,583.50 and 485,280.75 is: 637,196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,583.50 : 485,280.75 = 485,280.75 : x
  2. Step 2: Convert to fraction form
    369,583.50/485,280.75 = 485,280.75/x
  3. Step 3: Cross multiply
    369,583.50x = 485,280.75 × 485,280.75
  4. Step 4: Simplify right side
    369,583.50x = 235,497,406,320.56
  5. Step 5: Solve for x
    x = 235,497,406,320.56/369,583.50
  6. Step 6: Final answer
    x = 637,196.75

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.