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Finding the Third Proportional to 293,517 and 466,537.50

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Solution

The third proportional to 293,517 and 466,537.50 is: 741,549.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,517 : 466,537.50 = 466,537.50 : x
  2. Step 2: Convert to fraction form
    293,517/466,537.50 = 466,537.50/x
  3. Step 3: Cross multiply
    293,517x = 466,537.50 × 466,537.50
  4. Step 4: Simplify right side
    293,517x = 217,657,238,906.25
  5. Step 5: Solve for x
    x = 217,657,238,906.25/293,517
  6. Step 6: Final answer
    x = 741,549.00

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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.