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Finding the Third Proportional to 285,798 and 627,648

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Solution

The third proportional to 285,798 and 627,648 is: 1,378,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,798 : 627,648 = 627,648 : x
  2. Step 2: Convert to fraction form
    285,798/627,648 = 627,648/x
  3. Step 3: Cross multiply
    285,798x = 627,648 × 627,648
  4. Step 4: Simplify right side
    285,798x = 393,942,011,904
  5. Step 5: Solve for x
    x = 393,942,011,904/285,798
  6. Step 6: Final answer
    x = 1,378,393.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.