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Finding the Third Proportional to 308,314 and 672,507

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Solution

The third proportional to 308,314 and 672,507 is: 1,466,899.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,314 : 672,507 = 672,507 : x
  2. Step 2: Convert to fraction form
    308,314/672,507 = 672,507/x
  3. Step 3: Cross multiply
    308,314x = 672,507 × 672,507
  4. Step 4: Simplify right side
    308,314x = 452,265,665,049
  5. Step 5: Solve for x
    x = 452,265,665,049/308,314
  6. Step 6: Final answer
    x = 1,466,899.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.