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Finding the Third Proportional to 531,800 and 798,090

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Solution

The third proportional to 531,800 and 798,090 is: 1,197,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,800 : 798,090 = 798,090 : x
  2. Step 2: Convert to fraction form
    531,800/798,090 = 798,090/x
  3. Step 3: Cross multiply
    531,800x = 798,090 × 798,090
  4. Step 4: Simplify right side
    531,800x = 636,947,648,100
  5. Step 5: Solve for x
    x = 636,947,648,100/531,800
  6. Step 6: Final answer
    x = 1,197,720.29

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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.