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Finding the Third Proportional to 296,568 and 652,174

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Solution

The third proportional to 296,568 and 652,174 is: 1,434,176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,568 : 652,174 = 652,174 : x
  2. Step 2: Convert to fraction form
    296,568/652,174 = 652,174/x
  3. Step 3: Cross multiply
    296,568x = 652,174 × 652,174
  4. Step 4: Simplify right side
    296,568x = 425,330,926,276
  5. Step 5: Solve for x
    x = 425,330,926,276/296,568
  6. Step 6: Final answer
    x = 1,434,176.74

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Why These Related Problems?

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