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Finding the Third Proportional to 529,769 and 792,536

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Solution

The third proportional to 529,769 and 792,536 is: 1,185,636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,769 : 792,536 = 792,536 : x
  2. Step 2: Convert to fraction form
    529,769/792,536 = 792,536/x
  3. Step 3: Cross multiply
    529,769x = 792,536 × 792,536
  4. Step 4: Simplify right side
    529,769x = 628,113,311,296
  5. Step 5: Solve for x
    x = 628,113,311,296/529,769
  6. Step 6: Final answer
    x = 1,185,636.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.