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Finding the Third Proportional to 529,714.50 and 806,812.50

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Solution

The third proportional to 529,714.50 and 806,812.50 is: 1,228,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,714.50 : 806,812.50 = 806,812.50 : x
  2. Step 2: Convert to fraction form
    529,714.50/806,812.50 = 806,812.50/x
  3. Step 3: Cross multiply
    529,714.50x = 806,812.50 × 806,812.50
  4. Step 4: Simplify right side
    529,714.50x = 650,946,410,156.25
  5. Step 5: Solve for x
    x = 650,946,410,156.25/529,714.50
  6. Step 6: Final answer
    x = 1,228,862.74

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