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Finding the Third Proportional to 253,904 and 540,706

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Solution

The third proportional to 253,904 and 540,706 is: 1,151,470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,904 : 540,706 = 540,706 : x
  2. Step 2: Convert to fraction form
    253,904/540,706 = 540,706/x
  3. Step 3: Cross multiply
    253,904x = 540,706 × 540,706
  4. Step 4: Simplify right side
    253,904x = 292,362,978,436
  5. Step 5: Solve for x
    x = 292,362,978,436/253,904
  6. Step 6: Final answer
    x = 1,151,470.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.