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Finding the Third Proportional to 283,195.50 and 615,696

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Solution

The third proportional to 283,195.50 and 615,696 is: 1,338,586.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,195.50 : 615,696 = 615,696 : x
  2. Step 2: Convert to fraction form
    283,195.50/615,696 = 615,696/x
  3. Step 3: Cross multiply
    283,195.50x = 615,696 × 615,696
  4. Step 4: Simplify right side
    283,195.50x = 379,081,564,416
  5. Step 5: Solve for x
    x = 379,081,564,416/283,195.50
  6. Step 6: Final answer
    x = 1,338,586.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.