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Finding the Third Proportional to 258,211.13 and 559,302.19

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Solution

The third proportional to 258,211.13 and 559,302.19 is: 1,211,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,211.13 : 559,302.19 = 559,302.19 : x
  2. Step 2: Convert to fraction form
    258,211.13/559,302.19 = 559,302.19/x
  3. Step 3: Cross multiply
    258,211.13x = 559,302.19 × 559,302.19
  4. Step 4: Simplify right side
    258,211.13x = 312,818,936,942.29
  5. Step 5: Solve for x
    x = 312,818,936,942.29/258,211.13
  6. Step 6: Final answer
    x = 1,211,485.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.