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Finding the Third Proportional to 307,916 and 676,312

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Solution

The third proportional to 307,916 and 676,312 is: 1,485,463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,916 : 676,312 = 676,312 : x
  2. Step 2: Convert to fraction form
    307,916/676,312 = 676,312/x
  3. Step 3: Cross multiply
    307,916x = 676,312 × 676,312
  4. Step 4: Simplify right side
    307,916x = 457,397,921,344
  5. Step 5: Solve for x
    x = 457,397,921,344/307,916
  6. Step 6: Final answer
    x = 1,485,463.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.