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Finding the Third Proportional to 258,106.50 and 566,068.50

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Solution

The third proportional to 258,106.50 and 566,068.50 is: 1,241,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,106.50 : 566,068.50 = 566,068.50 : x
  2. Step 2: Convert to fraction form
    258,106.50/566,068.50 = 566,068.50/x
  3. Step 3: Cross multiply
    258,106.50x = 566,068.50 × 566,068.50
  4. Step 4: Simplify right side
    258,106.50x = 320,433,546,692.25
  5. Step 5: Solve for x
    x = 320,433,546,692.25/258,106.50
  6. Step 6: Final answer
    x = 1,241,478.02

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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.