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Finding the Third Proportional to 529,412 and 799,054.50

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Solution

The third proportional to 529,412 and 799,054.50 is: 1,206,032.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,412 : 799,054.50 = 799,054.50 : x
  2. Step 2: Convert to fraction form
    529,412/799,054.50 = 799,054.50/x
  3. Step 3: Cross multiply
    529,412x = 799,054.50 × 799,054.50
  4. Step 4: Simplify right side
    529,412x = 638,488,093,970.25
  5. Step 5: Solve for x
    x = 638,488,093,970.25/529,412
  6. Step 6: Final answer
    x = 1,206,032.53

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