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Finding the Third Proportional to 336,827 and 730,311

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Solution

The third proportional to 336,827 and 730,311 is: 1,583,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,827 : 730,311 = 730,311 : x
  2. Step 2: Convert to fraction form
    336,827/730,311 = 730,311/x
  3. Step 3: Cross multiply
    336,827x = 730,311 × 730,311
  4. Step 4: Simplify right side
    336,827x = 533,354,156,721
  5. Step 5: Solve for x
    x = 533,354,156,721/336,827
  6. Step 6: Final answer
    x = 1,583,466.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.