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Finding the Third Proportional to 360,202 and 783,827

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Solution

The third proportional to 360,202 and 783,827 is: 1,705,667.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,202 : 783,827 = 783,827 : x
  2. Step 2: Convert to fraction form
    360,202/783,827 = 783,827/x
  3. Step 3: Cross multiply
    360,202x = 783,827 × 783,827
  4. Step 4: Simplify right side
    360,202x = 614,384,765,929
  5. Step 5: Solve for x
    x = 614,384,765,929/360,202
  6. Step 6: Final answer
    x = 1,705,667.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.