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Finding the Third Proportional to 369,906 and 798,084

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Solution

The third proportional to 369,906 and 798,084 is: 1,721,891.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,906 : 798,084 = 798,084 : x
  2. Step 2: Convert to fraction form
    369,906/798,084 = 798,084/x
  3. Step 3: Cross multiply
    369,906x = 798,084 × 798,084
  4. Step 4: Simplify right side
    369,906x = 636,938,071,056
  5. Step 5: Solve for x
    x = 636,938,071,056/369,906
  6. Step 6: Final answer
    x = 1,721,891.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.