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Finding the Third Proportional to 305,244 and 448,732

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Solution

The third proportional to 305,244 and 448,732 is: 659,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,244 : 448,732 = 448,732 : x
  2. Step 2: Convert to fraction form
    305,244/448,732 = 448,732/x
  3. Step 3: Cross multiply
    305,244x = 448,732 × 448,732
  4. Step 4: Simplify right side
    305,244x = 201,360,407,824
  5. Step 5: Solve for x
    x = 201,360,407,824/305,244
  6. Step 6: Final answer
    x = 659,670.32

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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.