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Finding the Third Proportional to 312,073.50 and 457,002

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Solution

The third proportional to 312,073.50 and 457,002 is: 669,236.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,073.50 : 457,002 = 457,002 : x
  2. Step 2: Convert to fraction form
    312,073.50/457,002 = 457,002/x
  3. Step 3: Cross multiply
    312,073.50x = 457,002 × 457,002
  4. Step 4: Simplify right side
    312,073.50x = 208,850,828,004
  5. Step 5: Solve for x
    x = 208,850,828,004/312,073.50
  6. Step 6: Final answer
    x = 669,236.02

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.