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Finding the Third Proportional to 347,142 and 760,866

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Solution

The third proportional to 347,142 and 760,866 is: 1,667,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,142 : 760,866 = 760,866 : x
  2. Step 2: Convert to fraction form
    347,142/760,866 = 760,866/x
  3. Step 3: Cross multiply
    347,142x = 760,866 × 760,866
  4. Step 4: Simplify right side
    347,142x = 578,917,069,956
  5. Step 5: Solve for x
    x = 578,917,069,956/347,142
  6. Step 6: Final answer
    x = 1,667,666.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.