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Finding the Third Proportional to 288,092 and 455,817

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Solution

The third proportional to 288,092 and 455,817 is: 721,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,092 : 455,817 = 455,817 : x
  2. Step 2: Convert to fraction form
    288,092/455,817 = 455,817/x
  3. Step 3: Cross multiply
    288,092x = 455,817 × 455,817
  4. Step 4: Simplify right side
    288,092x = 207,769,137,489
  5. Step 5: Solve for x
    x = 207,769,137,489/288,092
  6. Step 6: Final answer
    x = 721,190.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.