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Finding the Third Proportional to 362,248 and 795,856

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Solution

The third proportional to 362,248 and 795,856 is: 1,748,489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,248 : 795,856 = 795,856 : x
  2. Step 2: Convert to fraction form
    362,248/795,856 = 795,856/x
  3. Step 3: Cross multiply
    362,248x = 795,856 × 795,856
  4. Step 4: Simplify right side
    362,248x = 633,386,772,736
  5. Step 5: Solve for x
    x = 633,386,772,736/362,248
  6. Step 6: Final answer
    x = 1,748,489.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.