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Finding the Third Proportional to 301,336 and 455,892

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Solution

The third proportional to 301,336 and 455,892 is: 689,720.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,336 : 455,892 = 455,892 : x
  2. Step 2: Convert to fraction form
    301,336/455,892 = 455,892/x
  3. Step 3: Cross multiply
    301,336x = 455,892 × 455,892
  4. Step 4: Simplify right side
    301,336x = 207,837,515,664
  5. Step 5: Solve for x
    x = 207,837,515,664/301,336
  6. Step 6: Final answer
    x = 689,720.17

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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.