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Finding the Third Proportional to 305,271 and 448,761

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Solution

The third proportional to 305,271 and 448,761 is: 659,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,271 : 448,761 = 448,761 : x
  2. Step 2: Convert to fraction form
    305,271/448,761 = 448,761/x
  3. Step 3: Cross multiply
    305,271x = 448,761 × 448,761
  4. Step 4: Simplify right side
    305,271x = 201,386,435,121
  5. Step 5: Solve for x
    x = 201,386,435,121/305,271
  6. Step 6: Final answer
    x = 659,697.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.