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Finding the Third Proportional to 253,906 and 540,709

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Solution

The third proportional to 253,906 and 540,709 is: 1,151,474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,906 : 540,709 = 540,709 : x
  2. Step 2: Convert to fraction form
    253,906/540,709 = 540,709/x
  3. Step 3: Cross multiply
    253,906x = 540,709 × 540,709
  4. Step 4: Simplify right side
    253,906x = 292,366,222,681
  5. Step 5: Solve for x
    x = 292,366,222,681/253,906
  6. Step 6: Final answer
    x = 1,151,474.26

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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.