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Finding the Third Proportional to 376,318 and 805,008

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Solution

The third proportional to 376,318 and 805,008 is: 1,722,048.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,318 : 805,008 = 805,008 : x
  2. Step 2: Convert to fraction form
    376,318/805,008 = 805,008/x
  3. Step 3: Cross multiply
    376,318x = 805,008 × 805,008
  4. Step 4: Simplify right side
    376,318x = 648,037,880,064
  5. Step 5: Solve for x
    x = 648,037,880,064/376,318
  6. Step 6: Final answer
    x = 1,722,048.59

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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.