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Finding the Third Proportional to 361,292 and 852,946

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Solution

The third proportional to 361,292 and 852,946 is: 2,013,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,292 : 852,946 = 852,946 : x
  2. Step 2: Convert to fraction form
    361,292/852,946 = 852,946/x
  3. Step 3: Cross multiply
    361,292x = 852,946 × 852,946
  4. Step 4: Simplify right side
    361,292x = 727,516,878,916
  5. Step 5: Solve for x
    x = 727,516,878,916/361,292
  6. Step 6: Final answer
    x = 2,013,653.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.