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Finding the Third Proportional to 250,782 and 542,468

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Solution

The third proportional to 250,782 and 542,468 is: 1,173,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,782 : 542,468 = 542,468 : x
  2. Step 2: Convert to fraction form
    250,782/542,468 = 542,468/x
  3. Step 3: Cross multiply
    250,782x = 542,468 × 542,468
  4. Step 4: Simplify right side
    250,782x = 294,271,531,024
  5. Step 5: Solve for x
    x = 294,271,531,024/250,782
  6. Step 6: Final answer
    x = 1,173,415.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.