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Finding the Third Proportional to 518,346 and 773,523

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Solution

The third proportional to 518,346 and 773,523 is: 1,154,321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,346 : 773,523 = 773,523 : x
  2. Step 2: Convert to fraction form
    518,346/773,523 = 773,523/x
  3. Step 3: Cross multiply
    518,346x = 773,523 × 773,523
  4. Step 4: Simplify right side
    518,346x = 598,337,831,529
  5. Step 5: Solve for x
    x = 598,337,831,529/518,346
  6. Step 6: Final answer
    x = 1,154,321.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.