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Finding the Third Proportional to 531,076 and 797,190

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Solution

The third proportional to 531,076 and 797,190 is: 1,196,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,076 : 797,190 = 797,190 : x
  2. Step 2: Convert to fraction form
    531,076/797,190 = 797,190/x
  3. Step 3: Cross multiply
    531,076x = 797,190 × 797,190
  4. Step 4: Simplify right side
    531,076x = 635,511,896,100
  5. Step 5: Solve for x
    x = 635,511,896,100/531,076
  6. Step 6: Final answer
    x = 1,196,649.62

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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.