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Finding the Third Proportional to 317,746 and 491,546

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Solution

The third proportional to 317,746 and 491,546 is: 760,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,746 : 491,546 = 491,546 : x
  2. Step 2: Convert to fraction form
    317,746/491,546 = 491,546/x
  3. Step 3: Cross multiply
    317,746x = 491,546 × 491,546
  4. Step 4: Simplify right side
    317,746x = 241,617,470,116
  5. Step 5: Solve for x
    x = 241,617,470,116/317,746
  6. Step 6: Final answer
    x = 760,410.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.