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Finding the Third Proportional to 283,193.01 and 615,689.62

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Solution

The third proportional to 283,193.01 and 615,689.62 is: 1,338,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,193.01 : 615,689.62 = 615,689.62 : x
  2. Step 2: Convert to fraction form
    283,193.01/615,689.62 = 615,689.62/x
  3. Step 3: Cross multiply
    283,193.01x = 615,689.62 × 615,689.62
  4. Step 4: Simplify right side
    283,193.01x = 379,073,710,725.06
  5. Step 5: Solve for x
    x = 379,073,710,725.06/283,193.01
  6. Step 6: Final answer
    x = 1,338,570.17

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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.