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Finding the Third Proportional to 238,604.48 and 514,570.22

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Solution

The third proportional to 238,604.48 and 514,570.22 is: 1,109,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,604.48 : 514,570.22 = 514,570.22 : x
  2. Step 2: Convert to fraction form
    238,604.48/514,570.22 = 514,570.22/x
  3. Step 3: Cross multiply
    238,604.48x = 514,570.22 × 514,570.22
  4. Step 4: Simplify right side
    238,604.48x = 264,782,510,024.42
  5. Step 5: Solve for x
    x = 264,782,510,024.42/238,604.48
  6. Step 6: Final answer
    x = 1,109,713.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.