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Finding the Third Proportional to 282,194 and 615,800

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Solution

The third proportional to 282,194 and 615,800 is: 1,343,790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,194 : 615,800 = 615,800 : x
  2. Step 2: Convert to fraction form
    282,194/615,800 = 615,800/x
  3. Step 3: Cross multiply
    282,194x = 615,800 × 615,800
  4. Step 4: Simplify right side
    282,194x = 379,209,640,000
  5. Step 5: Solve for x
    x = 379,209,640,000/282,194
  6. Step 6: Final answer
    x = 1,343,790.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.