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Finding the Third Proportional to 368,314 and 806,894

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Solution

The third proportional to 368,314 and 806,894 is: 1,767,725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,314 : 806,894 = 806,894 : x
  2. Step 2: Convert to fraction form
    368,314/806,894 = 806,894/x
  3. Step 3: Cross multiply
    368,314x = 806,894 × 806,894
  4. Step 4: Simplify right side
    368,314x = 651,077,927,236
  5. Step 5: Solve for x
    x = 651,077,927,236/368,314
  6. Step 6: Final answer
    x = 1,767,725.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.