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Finding the Third Proportional to 500,498 and 1,079,728

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Solution

The third proportional to 500,498 and 1,079,728 is: 2,329,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,498 : 1,079,728 = 1,079,728 : x
  2. Step 2: Convert to fraction form
    500,498/1,079,728 = 1,079,728/x
  3. Step 3: Cross multiply
    500,498x = 1,079,728 × 1,079,728
  4. Step 4: Simplify right side
    500,498x = 1,165,812,553,984
  5. Step 5: Solve for x
    x = 1,165,812,553,984/500,498
  6. Step 6: Final answer
    x = 2,329,305.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.