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Finding the Third Proportional to 301,737 and 455,679.75

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Solution

The third proportional to 301,737 and 455,679.75 is: 688,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,737 : 455,679.75 = 455,679.75 : x
  2. Step 2: Convert to fraction form
    301,737/455,679.75 = 455,679.75/x
  3. Step 3: Cross multiply
    301,737x = 455,679.75 × 455,679.75
  4. Step 4: Simplify right side
    301,737x = 207,644,034,560.06
  5. Step 5: Solve for x
    x = 207,644,034,560.06/301,737
  6. Step 6: Final answer
    x = 688,162.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.