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Finding the Third Proportional to 269,955 and 624,963

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Solution

The third proportional to 269,955 and 624,963 is: 1,446,829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,955 : 624,963 = 624,963 : x
  2. Step 2: Convert to fraction form
    269,955/624,963 = 624,963/x
  3. Step 3: Cross multiply
    269,955x = 624,963 × 624,963
  4. Step 4: Simplify right side
    269,955x = 390,578,751,369
  5. Step 5: Solve for x
    x = 390,578,751,369/269,955
  6. Step 6: Final answer
    x = 1,446,829.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.