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Finding the Third Proportional to 529,470 and 799,086

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Solution

The third proportional to 529,470 and 799,086 is: 1,205,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,470 : 799,086 = 799,086 : x
  2. Step 2: Convert to fraction form
    529,470/799,086 = 799,086/x
  3. Step 3: Cross multiply
    529,470x = 799,086 × 799,086
  4. Step 4: Simplify right side
    529,470x = 638,538,435,396
  5. Step 5: Solve for x
    x = 638,538,435,396/529,470
  6. Step 6: Final answer
    x = 1,205,995.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.