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Finding the Third Proportional to 272,944 and 401,612

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Solution

The third proportional to 272,944 and 401,612 is: 590,935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,944 : 401,612 = 401,612 : x
  2. Step 2: Convert to fraction form
    272,944/401,612 = 401,612/x
  3. Step 3: Cross multiply
    272,944x = 401,612 × 401,612
  4. Step 4: Simplify right side
    272,944x = 161,292,198,544
  5. Step 5: Solve for x
    x = 161,292,198,544/272,944
  6. Step 6: Final answer
    x = 590,935.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.