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Finding the Third Proportional to 258,723 and 556,792

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Solution

The third proportional to 258,723 and 556,792 is: 1,198,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,723 : 556,792 = 556,792 : x
  2. Step 2: Convert to fraction form
    258,723/556,792 = 556,792/x
  3. Step 3: Cross multiply
    258,723x = 556,792 × 556,792
  4. Step 4: Simplify right side
    258,723x = 310,017,331,264
  5. Step 5: Solve for x
    x = 310,017,331,264/258,723
  6. Step 6: Final answer
    x = 1,198,259.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.