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Finding the Third Proportional to 250,619.06 and 514,522.13

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Solution

The third proportional to 250,619.06 and 514,522.13 is: 1,056,316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,619.06 : 514,522.13 = 514,522.13 : x
  2. Step 2: Convert to fraction form
    250,619.06/514,522.13 = 514,522.13/x
  3. Step 3: Cross multiply
    250,619.06x = 514,522.13 × 514,522.13
  4. Step 4: Simplify right side
    250,619.06x = 264,733,017,114.52
  5. Step 5: Solve for x
    x = 264,733,017,114.52/250,619.06
  6. Step 6: Final answer
    x = 1,056,316.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.