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Finding the Third Proportional to 317,835 and 696,366

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Solution

The third proportional to 317,835 and 696,366 is: 1,525,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,835 : 696,366 = 696,366 : x
  2. Step 2: Convert to fraction form
    317,835/696,366 = 696,366/x
  3. Step 3: Cross multiply
    317,835x = 696,366 × 696,366
  4. Step 4: Simplify right side
    317,835x = 484,925,605,956
  5. Step 5: Solve for x
    x = 484,925,605,956/317,835
  6. Step 6: Final answer
    x = 1,525,714.93

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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.