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Finding the Third Proportional to 265,560 and 414,468

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Solution

The third proportional to 265,560 and 414,468 is: 646,873.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,560 : 414,468 = 414,468 : x
  2. Step 2: Convert to fraction form
    265,560/414,468 = 414,468/x
  3. Step 3: Cross multiply
    265,560x = 414,468 × 414,468
  4. Step 4: Simplify right side
    265,560x = 171,783,723,024
  5. Step 5: Solve for x
    x = 171,783,723,024/265,560
  6. Step 6: Final answer
    x = 646,873.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.