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Finding the Third Proportional to 282,056 and 593,200

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Solution

The third proportional to 282,056 and 593,200 is: 1,247,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,056 : 593,200 = 593,200 : x
  2. Step 2: Convert to fraction form
    282,056/593,200 = 593,200/x
  3. Step 3: Cross multiply
    282,056x = 593,200 × 593,200
  4. Step 4: Simplify right side
    282,056x = 351,886,240,000
  5. Step 5: Solve for x
    x = 351,886,240,000/282,056
  6. Step 6: Final answer
    x = 1,247,575.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.