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Finding the Third Proportional to 253,602 and 535,494

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Solution

The third proportional to 253,602 and 535,494 is: 1,130,723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,602 : 535,494 = 535,494 : x
  2. Step 2: Convert to fraction form
    253,602/535,494 = 535,494/x
  3. Step 3: Cross multiply
    253,602x = 535,494 × 535,494
  4. Step 4: Simplify right side
    253,602x = 286,753,824,036
  5. Step 5: Solve for x
    x = 286,753,824,036/253,602
  6. Step 6: Final answer
    x = 1,130,723.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.