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Finding the Third Proportional to 360,240 and 782,016

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Solution

The third proportional to 360,240 and 782,016 is: 1,697,615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,240 : 782,016 = 782,016 : x
  2. Step 2: Convert to fraction form
    360,240/782,016 = 782,016/x
  3. Step 3: Cross multiply
    360,240x = 782,016 × 782,016
  4. Step 4: Simplify right side
    360,240x = 611,549,024,256
  5. Step 5: Solve for x
    x = 611,549,024,256/360,240
  6. Step 6: Final answer
    x = 1,697,615.55

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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.