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Finding the Third Proportional to 265,396 and 410,946

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Solution

The third proportional to 265,396 and 410,946 is: 636,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,396 : 410,946 = 410,946 : x
  2. Step 2: Convert to fraction form
    265,396/410,946 = 410,946/x
  3. Step 3: Cross multiply
    265,396x = 410,946 × 410,946
  4. Step 4: Simplify right side
    265,396x = 168,876,614,916
  5. Step 5: Solve for x
    x = 168,876,614,916/265,396
  6. Step 6: Final answer
    x = 636,319.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.