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Finding the Third Proportional to 528,769 and 770,866

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Solution

The third proportional to 528,769 and 770,866 is: 1,123,807.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,769 : 770,866 = 770,866 : x
  2. Step 2: Convert to fraction form
    528,769/770,866 = 770,866/x
  3. Step 3: Cross multiply
    528,769x = 770,866 × 770,866
  4. Step 4: Simplify right side
    528,769x = 594,234,389,956
  5. Step 5: Solve for x
    x = 594,234,389,956/528,769
  6. Step 6: Final answer
    x = 1,123,807.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.