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Finding the Third Proportional to 320,754 and 448,434

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Solution

The third proportional to 320,754 and 448,434 is: 626,938.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,754 : 448,434 = 448,434 : x
  2. Step 2: Convert to fraction form
    320,754/448,434 = 448,434/x
  3. Step 3: Cross multiply
    320,754x = 448,434 × 448,434
  4. Step 4: Simplify right side
    320,754x = 201,093,052,356
  5. Step 5: Solve for x
    x = 201,093,052,356/320,754
  6. Step 6: Final answer
    x = 626,938.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.