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Finding the Third Proportional to 602,196 and 865,568

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Solution

The third proportional to 602,196 and 865,568 is: 1,244,126.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,196 : 865,568 = 865,568 : x
  2. Step 2: Convert to fraction form
    602,196/865,568 = 865,568/x
  3. Step 3: Cross multiply
    602,196x = 865,568 × 865,568
  4. Step 4: Simplify right side
    602,196x = 749,207,962,624
  5. Step 5: Solve for x
    x = 749,207,962,624/602,196
  6. Step 6: Final answer
    x = 1,244,126.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.