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Finding the Third Proportional to 286,033.50 and 388,468.50

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Solution

The third proportional to 286,033.50 and 388,468.50 is: 527,587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,033.50 : 388,468.50 = 388,468.50 : x
  2. Step 2: Convert to fraction form
    286,033.50/388,468.50 = 388,468.50/x
  3. Step 3: Cross multiply
    286,033.50x = 388,468.50 × 388,468.50
  4. Step 4: Simplify right side
    286,033.50x = 150,907,775,492.25
  5. Step 5: Solve for x
    x = 150,907,775,492.25/286,033.50
  6. Step 6: Final answer
    x = 527,587.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.