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Finding the Third Proportional to 564,694.50 and 828,208.50

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Solution

The third proportional to 564,694.50 and 828,208.50 is: 1,214,690.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,694.50 : 828,208.50 = 828,208.50 : x
  2. Step 2: Convert to fraction form
    564,694.50/828,208.50 = 828,208.50/x
  3. Step 3: Cross multiply
    564,694.50x = 828,208.50 × 828,208.50
  4. Step 4: Simplify right side
    564,694.50x = 685,929,319,472.25
  5. Step 5: Solve for x
    x = 685,929,319,472.25/564,694.50
  6. Step 6: Final answer
    x = 1,214,690.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.