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Finding the Third Proportional to 565,155 and 792,063

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Solution

The third proportional to 565,155 and 792,063 is: 1,110,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,155 : 792,063 = 792,063 : x
  2. Step 2: Convert to fraction form
    565,155/792,063 = 792,063/x
  3. Step 3: Cross multiply
    565,155x = 792,063 × 792,063
  4. Step 4: Simplify right side
    565,155x = 627,363,795,969
  5. Step 5: Solve for x
    x = 627,363,795,969/565,155
  6. Step 6: Final answer
    x = 1,110,073.87

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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.