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Finding the Third Proportional to 317,832 and 696,360

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Solution

The third proportional to 317,832 and 696,360 is: 1,525,703.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,832 : 696,360 = 696,360 : x
  2. Step 2: Convert to fraction form
    317,832/696,360 = 696,360/x
  3. Step 3: Cross multiply
    317,832x = 696,360 × 696,360
  4. Step 4: Simplify right side
    317,832x = 484,917,249,600
  5. Step 5: Solve for x
    x = 484,917,249,600/317,832
  6. Step 6: Final answer
    x = 1,525,703.04

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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.