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Finding the Third Proportional to 347,263 and 704,184

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Solution

The third proportional to 347,263 and 704,184 is: 1,427,952.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,263 : 704,184 = 704,184 : x
  2. Step 2: Convert to fraction form
    347,263/704,184 = 704,184/x
  3. Step 3: Cross multiply
    347,263x = 704,184 × 704,184
  4. Step 4: Simplify right side
    347,263x = 495,875,105,856
  5. Step 5: Solve for x
    x = 495,875,105,856/347,263
  6. Step 6: Final answer
    x = 1,427,952.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.