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Finding the Third Proportional to 376,314 and 805,000

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Solution

The third proportional to 376,314 and 805,000 is: 1,722,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,314 : 805,000 = 805,000 : x
  2. Step 2: Convert to fraction form
    376,314/805,000 = 805,000/x
  3. Step 3: Cross multiply
    376,314x = 805,000 × 805,000
  4. Step 4: Simplify right side
    376,314x = 648,025,000,000
  5. Step 5: Solve for x
    x = 648,025,000,000/376,314
  6. Step 6: Final answer
    x = 1,722,032.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.