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Finding the Third Proportional to 529,707 and 806,800.50

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Solution

The third proportional to 529,707 and 806,800.50 is: 1,228,843.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,707 : 806,800.50 = 806,800.50 : x
  2. Step 2: Convert to fraction form
    529,707/806,800.50 = 806,800.50/x
  3. Step 3: Cross multiply
    529,707x = 806,800.50 × 806,800.50
  4. Step 4: Simplify right side
    529,707x = 650,927,046,800.25
  5. Step 5: Solve for x
    x = 650,927,046,800.25/529,707
  6. Step 6: Final answer
    x = 1,228,843.58

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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.