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Finding the Third Proportional to 293,460 and 466,453.50

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Solution

The third proportional to 293,460 and 466,453.50 is: 741,425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,460 : 466,453.50 = 466,453.50 : x
  2. Step 2: Convert to fraction form
    293,460/466,453.50 = 466,453.50/x
  3. Step 3: Cross multiply
    293,460x = 466,453.50 × 466,453.50
  4. Step 4: Simplify right side
    293,460x = 217,578,867,662.25
  5. Step 5: Solve for x
    x = 217,578,867,662.25/293,460
  6. Step 6: Final answer
    x = 741,425.98

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