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Finding the Third Proportional to 283,215 and 615,735

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Solution

The third proportional to 283,215 and 615,735 is: 1,338,663.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,215 : 615,735 = 615,735 : x
  2. Step 2: Convert to fraction form
    283,215/615,735 = 615,735/x
  3. Step 3: Cross multiply
    283,215x = 615,735 × 615,735
  4. Step 4: Simplify right side
    283,215x = 379,129,590,225
  5. Step 5: Solve for x
    x = 379,129,590,225/283,215
  6. Step 6: Final answer
    x = 1,338,663.52

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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.