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Finding the Third Proportional to 376,931.25 and 812,910.38

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Solution

The third proportional to 376,931.25 and 812,910.38 is: 1,753,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,931.25 : 812,910.38 = 812,910.38 : x
  2. Step 2: Convert to fraction form
    376,931.25/812,910.38 = 812,910.38/x
  3. Step 3: Cross multiply
    376,931.25x = 812,910.38 × 812,910.38
  4. Step 4: Simplify right side
    376,931.25x = 660,823,277,782.64
  5. Step 5: Solve for x
    x = 660,823,277,782.64/376,931.25
  6. Step 6: Final answer
    x = 1,753,166.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.