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Finding the Third Proportional to 368,850 and 804,708

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Solution

The third proportional to 368,850 and 804,708 is: 1,755,605.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,850 : 804,708 = 804,708 : x
  2. Step 2: Convert to fraction form
    368,850/804,708 = 804,708/x
  3. Step 3: Cross multiply
    368,850x = 804,708 × 804,708
  4. Step 4: Simplify right side
    368,850x = 647,554,965,264
  5. Step 5: Solve for x
    x = 647,554,965,264/368,850
  6. Step 6: Final answer
    x = 1,755,605.17

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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.