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Finding the Third Proportional to 518,110.50 and 799,306

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Solution

The third proportional to 518,110.50 and 799,306 is: 1,233,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,110.50 : 799,306 = 799,306 : x
  2. Step 2: Convert to fraction form
    518,110.50/799,306 = 799,306/x
  3. Step 3: Cross multiply
    518,110.50x = 799,306 × 799,306
  4. Step 4: Simplify right side
    518,110.50x = 638,890,081,636
  5. Step 5: Solve for x
    x = 638,890,081,636/518,110.50
  6. Step 6: Final answer
    x = 1,233,115.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.