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Finding the Third Proportional to 258,109 and 566,073.50

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Solution

The third proportional to 258,109 and 566,073.50 is: 1,241,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,109 : 566,073.50 = 566,073.50 : x
  2. Step 2: Convert to fraction form
    258,109/566,073.50 = 566,073.50/x
  3. Step 3: Cross multiply
    258,109x = 566,073.50 × 566,073.50
  4. Step 4: Simplify right side
    258,109x = 320,439,207,402.25
  5. Step 5: Solve for x
    x = 320,439,207,402.25/258,109
  6. Step 6: Final answer
    x = 1,241,487.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.