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Finding the Third Proportional to 518,452 and 741,389

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Solution

The third proportional to 518,452 and 741,389 is: 1,060,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,452 : 741,389 = 741,389 : x
  2. Step 2: Convert to fraction form
    518,452/741,389 = 741,389/x
  3. Step 3: Cross multiply
    518,452x = 741,389 × 741,389
  4. Step 4: Simplify right side
    518,452x = 549,657,649,321
  5. Step 5: Solve for x
    x = 549,657,649,321/518,452
  6. Step 6: Final answer
    x = 1,060,190.05

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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.