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Finding the Third Proportional to 317,727 and 486,735.75

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Solution

The third proportional to 317,727 and 486,735.75 is: 745,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,727 : 486,735.75 = 486,735.75 : x
  2. Step 2: Convert to fraction form
    317,727/486,735.75 = 486,735.75/x
  3. Step 3: Cross multiply
    317,727x = 486,735.75 × 486,735.75
  4. Step 4: Simplify right side
    317,727x = 236,911,690,328.06
  5. Step 5: Solve for x
    x = 236,911,690,328.06/317,727
  6. Step 6: Final answer
    x = 745,645.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.