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Finding the Third Proportional to 310,853 and 557,743

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Solution

The third proportional to 310,853 and 557,743 is: 1,000,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,853 : 557,743 = 557,743 : x
  2. Step 2: Convert to fraction form
    310,853/557,743 = 557,743/x
  3. Step 3: Cross multiply
    310,853x = 557,743 × 557,743
  4. Step 4: Simplify right side
    310,853x = 311,077,254,049
  5. Step 5: Solve for x
    x = 311,077,254,049/310,853
  6. Step 6: Final answer
    x = 1,000,721.42

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.