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Finding the Third Proportional to 535,106 and 804,599

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Solution

The third proportional to 535,106 and 804,599 is: 1,209,815.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,106 : 804,599 = 804,599 : x
  2. Step 2: Convert to fraction form
    535,106/804,599 = 804,599/x
  3. Step 3: Cross multiply
    535,106x = 804,599 × 804,599
  4. Step 4: Simplify right side
    535,106x = 647,379,550,801
  5. Step 5: Solve for x
    x = 647,379,550,801/535,106
  6. Step 6: Final answer
    x = 1,209,815.53

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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.