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Finding the Third Proportional to 518,334 and 773,502

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Solution

The third proportional to 518,334 and 773,502 is: 1,154,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,334 : 773,502 = 773,502 : x
  2. Step 2: Convert to fraction form
    518,334/773,502 = 773,502/x
  3. Step 3: Cross multiply
    518,334x = 773,502 × 773,502
  4. Step 4: Simplify right side
    518,334x = 598,305,344,004
  5. Step 5: Solve for x
    x = 598,305,344,004/518,334
  6. Step 6: Final answer
    x = 1,154,285.35

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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.