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Finding the Third Proportional to 293,854 and 436,460

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Solution

The third proportional to 293,854 and 436,460 is: 648,272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,854 : 436,460 = 436,460 : x
  2. Step 2: Convert to fraction form
    293,854/436,460 = 436,460/x
  3. Step 3: Cross multiply
    293,854x = 436,460 × 436,460
  4. Step 4: Simplify right side
    293,854x = 190,497,331,600
  5. Step 5: Solve for x
    x = 190,497,331,600/293,854
  6. Step 6: Final answer
    x = 648,272.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.