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Finding the Third Proportional to 369,852 and 792,138

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Solution

The third proportional to 369,852 and 792,138 is: 1,696,577.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,852 : 792,138 = 792,138 : x
  2. Step 2: Convert to fraction form
    369,852/792,138 = 792,138/x
  3. Step 3: Cross multiply
    369,852x = 792,138 × 792,138
  4. Step 4: Simplify right side
    369,852x = 627,482,611,044
  5. Step 5: Solve for x
    x = 627,482,611,044/369,852
  6. Step 6: Final answer
    x = 1,696,577.58

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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.