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Finding the Third Proportional to 588,688.50 and 798,936

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Solution

The third proportional to 588,688.50 and 798,936 is: 1,084,272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,688.50 : 798,936 = 798,936 : x
  2. Step 2: Convert to fraction form
    588,688.50/798,936 = 798,936/x
  3. Step 3: Cross multiply
    588,688.50x = 798,936 × 798,936
  4. Step 4: Simplify right side
    588,688.50x = 638,298,732,096
  5. Step 5: Solve for x
    x = 638,298,732,096/588,688.50
  6. Step 6: Final answer
    x = 1,084,272.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.