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Finding the Third Proportional to 397,368 and 862,012

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Solution

The third proportional to 397,368 and 862,012 is: 1,869,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,368 : 862,012 = 862,012 : x
  2. Step 2: Convert to fraction form
    397,368/862,012 = 862,012/x
  3. Step 3: Cross multiply
    397,368x = 862,012 × 862,012
  4. Step 4: Simplify right side
    397,368x = 743,064,688,144
  5. Step 5: Solve for x
    x = 743,064,688,144/397,368
  6. Step 6: Final answer
    x = 1,869,966.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.