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Finding the Third Proportional to 376,312 and 804,996

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Solution

The third proportional to 376,312 and 804,996 is: 1,722,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,312 : 804,996 = 804,996 : x
  2. Step 2: Convert to fraction form
    376,312/804,996 = 804,996/x
  3. Step 3: Cross multiply
    376,312x = 804,996 × 804,996
  4. Step 4: Simplify right side
    376,312x = 648,018,560,016
  5. Step 5: Solve for x
    x = 648,018,560,016/376,312
  6. Step 6: Final answer
    x = 1,722,024.70

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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.