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Finding the Third Proportional to 305,268 and 448,776

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Solution

The third proportional to 305,268 and 448,776 is: 659,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,268 : 448,776 = 448,776 : x
  2. Step 2: Convert to fraction form
    305,268/448,776 = 448,776/x
  3. Step 3: Cross multiply
    305,268x = 448,776 × 448,776
  4. Step 4: Simplify right side
    305,268x = 201,399,898,176
  5. Step 5: Solve for x
    x = 201,399,898,176/305,268
  6. Step 6: Final answer
    x = 659,747.82

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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.