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Finding the Third Proportional to 566,766 and 792,468

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Solution

The third proportional to 566,766 and 792,468 is: 1,108,050.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,766 : 792,468 = 792,468 : x
  2. Step 2: Convert to fraction form
    566,766/792,468 = 792,468/x
  3. Step 3: Cross multiply
    566,766x = 792,468 × 792,468
  4. Step 4: Simplify right side
    566,766x = 628,005,531,024
  5. Step 5: Solve for x
    x = 628,005,531,024/566,766
  6. Step 6: Final answer
    x = 1,108,050.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.