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Finding the Third Proportional to 369,098 and 804,900

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Solution

The third proportional to 369,098 and 804,900 is: 1,755,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,098 : 804,900 = 804,900 : x
  2. Step 2: Convert to fraction form
    369,098/804,900 = 804,900/x
  3. Step 3: Cross multiply
    369,098x = 804,900 × 804,900
  4. Step 4: Simplify right side
    369,098x = 647,864,010,000
  5. Step 5: Solve for x
    x = 647,864,010,000/369,098
  6. Step 6: Final answer
    x = 1,755,262.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.