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Finding the Third Proportional to 265,392 and 410,940

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Solution

The third proportional to 265,392 and 410,940 is: 636,310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,392 : 410,940 = 410,940 : x
  2. Step 2: Convert to fraction form
    265,392/410,940 = 410,940/x
  3. Step 3: Cross multiply
    265,392x = 410,940 × 410,940
  4. Step 4: Simplify right side
    265,392x = 168,871,683,600
  5. Step 5: Solve for x
    x = 168,871,683,600/265,392
  6. Step 6: Final answer
    x = 636,310.38

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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.