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Finding the Third Proportional to 252,735 and 551,781

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Solution

The third proportional to 252,735 and 551,781 is: 1,204,670.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,735 : 551,781 = 551,781 : x
  2. Step 2: Convert to fraction form
    252,735/551,781 = 551,781/x
  3. Step 3: Cross multiply
    252,735x = 551,781 × 551,781
  4. Step 4: Simplify right side
    252,735x = 304,462,271,961
  5. Step 5: Solve for x
    x = 304,462,271,961/252,735
  6. Step 6: Final answer
    x = 1,204,670.00

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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.