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Finding the Third Proportional to 332,088 and 518,870

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Solution

The third proportional to 332,088 and 518,870 is: 810,707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,088 : 518,870 = 518,870 : x
  2. Step 2: Convert to fraction form
    332,088/518,870 = 518,870/x
  3. Step 3: Cross multiply
    332,088x = 518,870 × 518,870
  4. Step 4: Simplify right side
    332,088x = 269,226,076,900
  5. Step 5: Solve for x
    x = 269,226,076,900/332,088
  6. Step 6: Final answer
    x = 810,707.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.