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Finding the Third Proportional to 526,346 and 799,366

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Solution

The third proportional to 526,346 and 799,366 is: 1,214,003.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,346 : 799,366 = 799,366 : x
  2. Step 2: Convert to fraction form
    526,346/799,366 = 799,366/x
  3. Step 3: Cross multiply
    526,346x = 799,366 × 799,366
  4. Step 4: Simplify right side
    526,346x = 638,986,001,956
  5. Step 5: Solve for x
    x = 638,986,001,956/526,346
  6. Step 6: Final answer
    x = 1,214,003.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.