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Finding the Third Proportional to 368,614 and 802,784

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Solution

The third proportional to 368,614 and 802,784 is: 1,748,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,614 : 802,784 = 802,784 : x
  2. Step 2: Convert to fraction form
    368,614/802,784 = 802,784/x
  3. Step 3: Cross multiply
    368,614x = 802,784 × 802,784
  4. Step 4: Simplify right side
    368,614x = 644,462,150,656
  5. Step 5: Solve for x
    x = 644,462,150,656/368,614
  6. Step 6: Final answer
    x = 1,748,338.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.