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Finding the Third Proportional to 303,510 and 456,046.50

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Solution

The third proportional to 303,510 and 456,046.50 is: 685,244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,510 : 456,046.50 = 456,046.50 : x
  2. Step 2: Convert to fraction form
    303,510/456,046.50 = 456,046.50/x
  3. Step 3: Cross multiply
    303,510x = 456,046.50 × 456,046.50
  4. Step 4: Simplify right side
    303,510x = 207,978,410,162.25
  5. Step 5: Solve for x
    x = 207,978,410,162.25/303,510
  6. Step 6: Final answer
    x = 685,244.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.