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Finding the Third Proportional to 293,546 and 466,509

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Solution

The third proportional to 293,546 and 466,509 is: 741,385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,546 : 466,509 = 466,509 : x
  2. Step 2: Convert to fraction form
    293,546/466,509 = 466,509/x
  3. Step 3: Cross multiply
    293,546x = 466,509 × 466,509
  4. Step 4: Simplify right side
    293,546x = 217,630,647,081
  5. Step 5: Solve for x
    x = 217,630,647,081/293,546
  6. Step 6: Final answer
    x = 741,385.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.