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Finding the Third Proportional to 265,040 and 567,952

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Solution

The third proportional to 265,040 and 567,952 is: 1,217,059.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,040 : 567,952 = 567,952 : x
  2. Step 2: Convert to fraction form
    265,040/567,952 = 567,952/x
  3. Step 3: Cross multiply
    265,040x = 567,952 × 567,952
  4. Step 4: Simplify right side
    265,040x = 322,569,474,304
  5. Step 5: Solve for x
    x = 322,569,474,304/265,040
  6. Step 6: Final answer
    x = 1,217,059.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.