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Finding the Third Proportional to 329,629 and 708,938

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Solution

The third proportional to 329,629 and 708,938 is: 1,524,723.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,629 : 708,938 = 708,938 : x
  2. Step 2: Convert to fraction form
    329,629/708,938 = 708,938/x
  3. Step 3: Cross multiply
    329,629x = 708,938 × 708,938
  4. Step 4: Simplify right side
    329,629x = 502,593,087,844
  5. Step 5: Solve for x
    x = 502,593,087,844/329,629
  6. Step 6: Final answer
    x = 1,524,723.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.