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Finding the Third Proportional to 518,454 and 741,392

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Solution

The third proportional to 518,454 and 741,392 is: 1,060,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,454 : 741,392 = 741,392 : x
  2. Step 2: Convert to fraction form
    518,454/741,392 = 741,392/x
  3. Step 3: Cross multiply
    518,454x = 741,392 × 741,392
  4. Step 4: Simplify right side
    518,454x = 549,662,097,664
  5. Step 5: Solve for x
    x = 549,662,097,664/518,454
  6. Step 6: Final answer
    x = 1,060,194.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.