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Finding the Third Proportional to 233,200.50 and 627,519

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Solution

The third proportional to 233,200.50 and 627,519 is: 1,688,590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,200.50 : 627,519 = 627,519 : x
  2. Step 2: Convert to fraction form
    233,200.50/627,519 = 627,519/x
  3. Step 3: Cross multiply
    233,200.50x = 627,519 × 627,519
  4. Step 4: Simplify right side
    233,200.50x = 393,780,095,361
  5. Step 5: Solve for x
    x = 393,780,095,361/233,200.50
  6. Step 6: Final answer
    x = 1,688,590.27

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.