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Finding the Third Proportional to 262,477 and 542,452

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Solution

The third proportional to 262,477 and 542,452 is: 1,121,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,477 : 542,452 = 542,452 : x
  2. Step 2: Convert to fraction form
    262,477/542,452 = 542,452/x
  3. Step 3: Cross multiply
    262,477x = 542,452 × 542,452
  4. Step 4: Simplify right side
    262,477x = 294,254,172,304
  5. Step 5: Solve for x
    x = 294,254,172,304/262,477
  6. Step 6: Final answer
    x = 1,121,066.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.