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Finding the Third Proportional to 531,910 and 798,412

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Solution

The third proportional to 531,910 and 798,412 is: 1,198,439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,910 : 798,412 = 798,412 : x
  2. Step 2: Convert to fraction form
    531,910/798,412 = 798,412/x
  3. Step 3: Cross multiply
    531,910x = 798,412 × 798,412
  4. Step 4: Simplify right side
    531,910x = 637,461,721,744
  5. Step 5: Solve for x
    x = 637,461,721,744/531,910
  6. Step 6: Final answer
    x = 1,198,439.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.