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Finding the Third Proportional to 602,200 and 865,574

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Solution

The third proportional to 602,200 and 865,574 is: 1,244,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,200 : 865,574 = 865,574 : x
  2. Step 2: Convert to fraction form
    602,200/865,574 = 865,574/x
  3. Step 3: Cross multiply
    602,200x = 865,574 × 865,574
  4. Step 4: Simplify right side
    602,200x = 749,218,349,476
  5. Step 5: Solve for x
    x = 749,218,349,476/602,200
  6. Step 6: Final answer
    x = 1,244,135.42

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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.