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Finding the Third Proportional to 293,855 and 436,462

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Solution

The third proportional to 293,855 and 436,462 is: 648,275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,855 : 436,462 = 436,462 : x
  2. Step 2: Convert to fraction form
    293,855/436,462 = 436,462/x
  3. Step 3: Cross multiply
    293,855x = 436,462 × 436,462
  4. Step 4: Simplify right side
    293,855x = 190,499,077,444
  5. Step 5: Solve for x
    x = 190,499,077,444/293,855
  6. Step 6: Final answer
    x = 648,275.77

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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.