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Finding the Third Proportional to 347,799 and 732,951

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Solution

The third proportional to 347,799 and 732,951 is: 1,544,619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,799 : 732,951 = 732,951 : x
  2. Step 2: Convert to fraction form
    347,799/732,951 = 732,951/x
  3. Step 3: Cross multiply
    347,799x = 732,951 × 732,951
  4. Step 4: Simplify right side
    347,799x = 537,217,168,401
  5. Step 5: Solve for x
    x = 537,217,168,401/347,799
  6. Step 6: Final answer
    x = 1,544,619.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.