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Finding the Third Proportional to 317,670 and 695,481

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Solution

The third proportional to 317,670 and 695,481 is: 1,522,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,670 : 695,481 = 695,481 : x
  2. Step 2: Convert to fraction form
    317,670/695,481 = 695,481/x
  3. Step 3: Cross multiply
    317,670x = 695,481 × 695,481
  4. Step 4: Simplify right side
    317,670x = 483,693,821,361
  5. Step 5: Solve for x
    x = 483,693,821,361/317,670
  6. Step 6: Final answer
    x = 1,522,629.84

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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.