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Finding the Third Proportional to 557,667 and 841,733

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Solution

The third proportional to 557,667 and 841,733 is: 1,270,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,667 : 841,733 = 841,733 : x
  2. Step 2: Convert to fraction form
    557,667/841,733 = 841,733/x
  3. Step 3: Cross multiply
    557,667x = 841,733 × 841,733
  4. Step 4: Simplify right side
    557,667x = 708,514,443,289
  5. Step 5: Solve for x
    x = 708,514,443,289/557,667
  6. Step 6: Final answer
    x = 1,270,497.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.