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Finding the Third Proportional to 265,173 and 576,986

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Solution

The third proportional to 265,173 and 576,986 is: 1,255,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,173 : 576,986 = 576,986 : x
  2. Step 2: Convert to fraction form
    265,173/576,986 = 576,986/x
  3. Step 3: Cross multiply
    265,173x = 576,986 × 576,986
  4. Step 4: Simplify right side
    265,173x = 332,912,844,196
  5. Step 5: Solve for x
    x = 332,912,844,196/265,173
  6. Step 6: Final answer
    x = 1,255,455.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.