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Finding the Third Proportional to 245,718 and 517,662

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Solution

The third proportional to 245,718 and 517,662 is: 1,090,575.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,718 : 517,662 = 517,662 : x
  2. Step 2: Convert to fraction form
    245,718/517,662 = 517,662/x
  3. Step 3: Cross multiply
    245,718x = 517,662 × 517,662
  4. Step 4: Simplify right side
    245,718x = 267,973,946,244
  5. Step 5: Solve for x
    x = 267,973,946,244/245,718
  6. Step 6: Final answer
    x = 1,090,575.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.