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Finding the Third Proportional to 252,270 and 551,904

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Solution

The third proportional to 252,270 and 551,904 is: 1,207,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,270 : 551,904 = 551,904 : x
  2. Step 2: Convert to fraction form
    252,270/551,904 = 551,904/x
  3. Step 3: Cross multiply
    252,270x = 551,904 × 551,904
  4. Step 4: Simplify right side
    252,270x = 304,598,025,216
  5. Step 5: Solve for x
    x = 304,598,025,216/252,270
  6. Step 6: Final answer
    x = 1,207,428.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.