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Finding the Third Proportional to 258,587 and 569,014

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Solution

The third proportional to 258,587 and 569,014 is: 1,252,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,587 : 569,014 = 569,014 : x
  2. Step 2: Convert to fraction form
    258,587/569,014 = 569,014/x
  3. Step 3: Cross multiply
    258,587x = 569,014 × 569,014
  4. Step 4: Simplify right side
    258,587x = 323,776,932,196
  5. Step 5: Solve for x
    x = 323,776,932,196/258,587
  6. Step 6: Final answer
    x = 1,252,100.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.