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Finding the Third Proportional to 329,328 and 708,588

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Solution

The third proportional to 329,328 and 708,588 is: 1,524,610.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,328 : 708,588 = 708,588 : x
  2. Step 2: Convert to fraction form
    329,328/708,588 = 708,588/x
  3. Step 3: Cross multiply
    329,328x = 708,588 × 708,588
  4. Step 4: Simplify right side
    329,328x = 502,096,953,744
  5. Step 5: Solve for x
    x = 502,096,953,744/329,328
  6. Step 6: Final answer
    x = 1,524,610.58

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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.