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Finding the Third Proportional to 369,142 and 804,984

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Solution

The third proportional to 369,142 and 804,984 is: 1,755,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,142 : 804,984 = 804,984 : x
  2. Step 2: Convert to fraction form
    369,142/804,984 = 804,984/x
  3. Step 3: Cross multiply
    369,142x = 804,984 × 804,984
  4. Step 4: Simplify right side
    369,142x = 647,999,240,256
  5. Step 5: Solve for x
    x = 647,999,240,256/369,142
  6. Step 6: Final answer
    x = 1,755,419.97

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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.