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Finding the Third Proportional to 265,738 and 566,952

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Solution

The third proportional to 265,738 and 566,952 is: 1,209,592.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,738 : 566,952 = 566,952 : x
  2. Step 2: Convert to fraction form
    265,738/566,952 = 566,952/x
  3. Step 3: Cross multiply
    265,738x = 566,952 × 566,952
  4. Step 4: Simplify right side
    265,738x = 321,434,570,304
  5. Step 5: Solve for x
    x = 321,434,570,304/265,738
  6. Step 6: Final answer
    x = 1,209,592.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.