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Finding the Third Proportional to 261,058.50 and 570,051

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Solution

The third proportional to 261,058.50 and 570,051 is: 1,244,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,058.50 : 570,051 = 570,051 : x
  2. Step 2: Convert to fraction form
    261,058.50/570,051 = 570,051/x
  3. Step 3: Cross multiply
    261,058.50x = 570,051 × 570,051
  4. Step 4: Simplify right side
    261,058.50x = 324,958,142,601
  5. Step 5: Solve for x
    x = 324,958,142,601/261,058.50
  6. Step 6: Final answer
    x = 1,244,771.35

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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.