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Finding the Third Proportional to 541,990 and 805,124

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Solution

The third proportional to 541,990 and 805,124 is: 1,196,008.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,990 : 805,124 = 805,124 : x
  2. Step 2: Convert to fraction form
    541,990/805,124 = 805,124/x
  3. Step 3: Cross multiply
    541,990x = 805,124 × 805,124
  4. Step 4: Simplify right side
    541,990x = 648,224,655,376
  5. Step 5: Solve for x
    x = 648,224,655,376/541,990
  6. Step 6: Final answer
    x = 1,196,008.52

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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.