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Finding the Third Proportional to 309,984 and 657,172

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Solution

The third proportional to 309,984 and 657,172 is: 1,393,217.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,984 : 657,172 = 657,172 : x
  2. Step 2: Convert to fraction form
    309,984/657,172 = 657,172/x
  3. Step 3: Cross multiply
    309,984x = 657,172 × 657,172
  4. Step 4: Simplify right side
    309,984x = 431,875,037,584
  5. Step 5: Solve for x
    x = 431,875,037,584/309,984
  6. Step 6: Final answer
    x = 1,393,217.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.