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Finding the Third Proportional to 303,601 and 482,537

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Solution

The third proportional to 303,601 and 482,537 is: 766,934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,601 : 482,537 = 482,537 : x
  2. Step 2: Convert to fraction form
    303,601/482,537 = 482,537/x
  3. Step 3: Cross multiply
    303,601x = 482,537 × 482,537
  4. Step 4: Simplify right side
    303,601x = 232,841,956,369
  5. Step 5: Solve for x
    x = 232,841,956,369/303,601
  6. Step 6: Final answer
    x = 766,934.09

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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.