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Finding the Third Proportional to 313,508 and 448,140

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Solution

The third proportional to 313,508 and 448,140 is: 640,587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,508 : 448,140 = 448,140 : x
  2. Step 2: Convert to fraction form
    313,508/448,140 = 448,140/x
  3. Step 3: Cross multiply
    313,508x = 448,140 × 448,140
  4. Step 4: Simplify right side
    313,508x = 200,829,459,600
  5. Step 5: Solve for x
    x = 200,829,459,600/313,508
  6. Step 6: Final answer
    x = 640,587.99

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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.