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Finding the Third Proportional to 535,098 and 804,587

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Solution

The third proportional to 535,098 and 804,587 is: 1,209,797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,098 : 804,587 = 804,587 : x
  2. Step 2: Convert to fraction form
    535,098/804,587 = 804,587/x
  3. Step 3: Cross multiply
    535,098x = 804,587 × 804,587
  4. Step 4: Simplify right side
    535,098x = 647,360,240,569
  5. Step 5: Solve for x
    x = 647,360,240,569/535,098
  6. Step 6: Final answer
    x = 1,209,797.53

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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.