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Finding the Third Proportional to 531,900 and 797,850

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Solution

The third proportional to 531,900 and 797,850 is: 1,196,775

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,900 : 797,850 = 797,850 : x
  2. Step 2: Convert to fraction form
    531,900/797,850 = 797,850/x
  3. Step 3: Cross multiply
    531,900x = 797,850 × 797,850
  4. Step 4: Simplify right side
    531,900x = 636,564,622,500
  5. Step 5: Solve for x
    x = 636,564,622,500/531,900
  6. Step 6: Final answer
    x = 1,196,775

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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.