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Finding the Third Proportional to 565,856 and 768,952

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Solution

The third proportional to 565,856 and 768,952 is: 1,044,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,856 : 768,952 = 768,952 : x
  2. Step 2: Convert to fraction form
    565,856/768,952 = 768,952/x
  3. Step 3: Cross multiply
    565,856x = 768,952 × 768,952
  4. Step 4: Simplify right side
    565,856x = 591,287,178,304
  5. Step 5: Solve for x
    x = 591,287,178,304/565,856
  6. Step 6: Final answer
    x = 1,044,942.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.