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Finding the Third Proportional to 406,944 and 622,560

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Solution

The third proportional to 406,944 and 622,560 is: 952,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,944 : 622,560 = 622,560 : x
  2. Step 2: Convert to fraction form
    406,944/622,560 = 622,560/x
  3. Step 3: Cross multiply
    406,944x = 622,560 × 622,560
  4. Step 4: Simplify right side
    406,944x = 387,580,953,600
  5. Step 5: Solve for x
    x = 387,580,953,600/406,944
  6. Step 6: Final answer
    x = 952,418.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.