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Finding the Third Proportional to 376,368 and 805,232

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Solution

The third proportional to 376,368 and 805,232 is: 1,722,778.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,368 : 805,232 = 805,232 : x
  2. Step 2: Convert to fraction form
    376,368/805,232 = 805,232/x
  3. Step 3: Cross multiply
    376,368x = 805,232 × 805,232
  4. Step 4: Simplify right side
    376,368x = 648,398,573,824
  5. Step 5: Solve for x
    x = 648,398,573,824/376,368
  6. Step 6: Final answer
    x = 1,722,778.17

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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.