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Finding the Third Proportional to 508,477.50 and 682,754.06

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Solution

The third proportional to 508,477.50 and 682,754.06 is: 916,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,477.50 : 682,754.06 = 682,754.06 : x
  2. Step 2: Convert to fraction form
    508,477.50/682,754.06 = 682,754.06/x
  3. Step 3: Cross multiply
    508,477.50x = 682,754.06 × 682,754.06
  4. Step 4: Simplify right side
    508,477.50x = 466,153,109,860.25
  5. Step 5: Solve for x
    x = 466,153,109,860.25/508,477.50
  6. Step 6: Final answer
    x = 916,762.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.