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Finding the Third Proportional to 315,498 and 684,508

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Solution

The third proportional to 315,498 and 684,508 is: 1,485,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,498 : 684,508 = 684,508 : x
  2. Step 2: Convert to fraction form
    315,498/684,508 = 684,508/x
  3. Step 3: Cross multiply
    315,498x = 684,508 × 684,508
  4. Step 4: Simplify right side
    315,498x = 468,551,202,064
  5. Step 5: Solve for x
    x = 468,551,202,064/315,498
  6. Step 6: Final answer
    x = 1,485,116.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.