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Finding the Third Proportional to 317,534 and 684,922

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Solution

The third proportional to 317,534 and 684,922 is: 1,477,379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,534 : 684,922 = 684,922 : x
  2. Step 2: Convert to fraction form
    317,534/684,922 = 684,922/x
  3. Step 3: Cross multiply
    317,534x = 684,922 × 684,922
  4. Step 4: Simplify right side
    317,534x = 469,118,146,084
  5. Step 5: Solve for x
    x = 469,118,146,084/317,534
  6. Step 6: Final answer
    x = 1,477,379.26

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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.