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Finding the Third Proportional to 347,210 and 760,894

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Solution

The third proportional to 347,210 and 760,894 is: 1,667,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,210 : 760,894 = 760,894 : x
  2. Step 2: Convert to fraction form
    347,210/760,894 = 760,894/x
  3. Step 3: Cross multiply
    347,210x = 760,894 × 760,894
  4. Step 4: Simplify right side
    347,210x = 578,959,679,236
  5. Step 5: Solve for x
    x = 578,959,679,236/347,210
  6. Step 6: Final answer
    x = 1,667,462.57

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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.