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Finding the Third Proportional to 325,756 and 707,216

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Solution

The third proportional to 325,756 and 707,216 is: 1,535,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,756 : 707,216 = 707,216 : x
  2. Step 2: Convert to fraction form
    325,756/707,216 = 707,216/x
  3. Step 3: Cross multiply
    325,756x = 707,216 × 707,216
  4. Step 4: Simplify right side
    325,756x = 500,154,470,656
  5. Step 5: Solve for x
    x = 500,154,470,656/325,756
  6. Step 6: Final answer
    x = 1,535,365.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.