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Finding the Third Proportional to 367,098 and 812,807

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Solution

The third proportional to 367,098 and 812,807 is: 1,799,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,098 : 812,807 = 812,807 : x
  2. Step 2: Convert to fraction form
    367,098/812,807 = 812,807/x
  3. Step 3: Cross multiply
    367,098x = 812,807 × 812,807
  4. Step 4: Simplify right side
    367,098x = 660,655,219,249
  5. Step 5: Solve for x
    x = 660,655,219,249/367,098
  6. Step 6: Final answer
    x = 1,799,669.90

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.