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Finding the Third Proportional to 363,681 and 795,078

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Solution

The third proportional to 363,681 and 795,078 is: 1,738,196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,681 : 795,078 = 795,078 : x
  2. Step 2: Convert to fraction form
    363,681/795,078 = 795,078/x
  3. Step 3: Cross multiply
    363,681x = 795,078 × 795,078
  4. Step 4: Simplify right side
    363,681x = 632,149,026,084
  5. Step 5: Solve for x
    x = 632,149,026,084/363,681
  6. Step 6: Final answer
    x = 1,738,196.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.