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Finding the Third Proportional to 317,834 and 696,364

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Solution

The third proportional to 317,834 and 696,364 is: 1,525,710.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,834 : 696,364 = 696,364 : x
  2. Step 2: Convert to fraction form
    317,834/696,364 = 696,364/x
  3. Step 3: Cross multiply
    317,834x = 696,364 × 696,364
  4. Step 4: Simplify right side
    317,834x = 484,922,820,496
  5. Step 5: Solve for x
    x = 484,922,820,496/317,834
  6. Step 6: Final answer
    x = 1,525,710.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.