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Finding the Third Proportional to 393,138 and 842,364

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Solution

The third proportional to 393,138 and 842,364 is: 1,804,905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,138 : 842,364 = 842,364 : x
  2. Step 2: Convert to fraction form
    393,138/842,364 = 842,364/x
  3. Step 3: Cross multiply
    393,138x = 842,364 × 842,364
  4. Step 4: Simplify right side
    393,138x = 709,577,108,496
  5. Step 5: Solve for x
    x = 709,577,108,496/393,138
  6. Step 6: Final answer
    x = 1,804,905.93

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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.