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Finding the Third Proportional to 313,962 and 448,386

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Solution

The third proportional to 313,962 and 448,386 is: 640,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,962 : 448,386 = 448,386 : x
  2. Step 2: Convert to fraction form
    313,962/448,386 = 448,386/x
  3. Step 3: Cross multiply
    313,962x = 448,386 × 448,386
  4. Step 4: Simplify right side
    313,962x = 201,050,004,996
  5. Step 5: Solve for x
    x = 201,050,004,996/313,962
  6. Step 6: Final answer
    x = 640,364.14

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.