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Finding the Third Proportional to 347,139 and 760,860

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Solution

The third proportional to 347,139 and 760,860 is: 1,667,654.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,139 : 760,860 = 760,860 : x
  2. Step 2: Convert to fraction form
    347,139/760,860 = 760,860/x
  3. Step 3: Cross multiply
    347,139x = 760,860 × 760,860
  4. Step 4: Simplify right side
    347,139x = 578,907,939,600
  5. Step 5: Solve for x
    x = 578,907,939,600/347,139
  6. Step 6: Final answer
    x = 1,667,654.57

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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.