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Finding the Third Proportional to 282,404 and 608,200

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Solution

The third proportional to 282,404 and 608,200 is: 1,309,851.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,404 : 608,200 = 608,200 : x
  2. Step 2: Convert to fraction form
    282,404/608,200 = 608,200/x
  3. Step 3: Cross multiply
    282,404x = 608,200 × 608,200
  4. Step 4: Simplify right side
    282,404x = 369,907,240,000
  5. Step 5: Solve for x
    x = 369,907,240,000/282,404
  6. Step 6: Final answer
    x = 1,309,851.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.