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Finding the Third Proportional to 535,096 and 804,588

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Solution

The third proportional to 535,096 and 804,588 is: 1,209,805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,096 : 804,588 = 804,588 : x
  2. Step 2: Convert to fraction form
    535,096/804,588 = 804,588/x
  3. Step 3: Cross multiply
    535,096x = 804,588 × 804,588
  4. Step 4: Simplify right side
    535,096x = 647,361,849,744
  5. Step 5: Solve for x
    x = 647,361,849,744/535,096
  6. Step 6: Final answer
    x = 1,209,805.06

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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.