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Finding the Third Proportional to 482,634 and 723,018.75

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Solution

The third proportional to 482,634 and 723,018.75 is: 1,083,131.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,634 : 723,018.75 = 723,018.75 : x
  2. Step 2: Convert to fraction form
    482,634/723,018.75 = 723,018.75/x
  3. Step 3: Cross multiply
    482,634x = 723,018.75 × 723,018.75
  4. Step 4: Simplify right side
    482,634x = 522,756,112,851.56
  5. Step 5: Solve for x
    x = 522,756,112,851.56/482,634
  6. Step 6: Final answer
    x = 1,083,131.55

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