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Finding the Third Proportional to 303,453 and 482,242.50

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Solution

The third proportional to 303,453 and 482,242.50 is: 766,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,453 : 482,242.50 = 482,242.50 : x
  2. Step 2: Convert to fraction form
    303,453/482,242.50 = 482,242.50/x
  3. Step 3: Cross multiply
    303,453x = 482,242.50 × 482,242.50
  4. Step 4: Simplify right side
    303,453x = 232,557,828,806.25
  5. Step 5: Solve for x
    x = 232,557,828,806.25/303,453
  6. Step 6: Final answer
    x = 766,371.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.