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Finding the Third Proportional to 265,040 and 410,844

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Solution

The third proportional to 265,040 and 410,844 is: 636,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,040 : 410,844 = 410,844 : x
  2. Step 2: Convert to fraction form
    265,040/410,844 = 410,844/x
  3. Step 3: Cross multiply
    265,040x = 410,844 × 410,844
  4. Step 4: Simplify right side
    265,040x = 168,792,792,336
  5. Step 5: Solve for x
    x = 168,792,792,336/265,040
  6. Step 6: Final answer
    x = 636,857.80

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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.