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Finding the Third Proportional to 412,656 and 588,735

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Solution

The third proportional to 412,656 and 588,735 is: 839,946.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,656 : 588,735 = 588,735 : x
  2. Step 2: Convert to fraction form
    412,656/588,735 = 588,735/x
  3. Step 3: Cross multiply
    412,656x = 588,735 × 588,735
  4. Step 4: Simplify right side
    412,656x = 346,608,900,225
  5. Step 5: Solve for x
    x = 346,608,900,225/412,656
  6. Step 6: Final answer
    x = 839,946.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.