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Finding the Third Proportional to 352,912 and 763,951

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Solution

The third proportional to 352,912 and 763,951 is: 1,653,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,912 : 763,951 = 763,951 : x
  2. Step 2: Convert to fraction form
    352,912/763,951 = 763,951/x
  3. Step 3: Cross multiply
    352,912x = 763,951 × 763,951
  4. Step 4: Simplify right side
    352,912x = 583,621,130,401
  5. Step 5: Solve for x
    x = 583,621,130,401/352,912
  6. Step 6: Final answer
    x = 1,653,729.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.