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Finding the Third Proportional to 564,711.75 and 828,235.13

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Solution

The third proportional to 564,711.75 and 828,235.13 is: 1,214,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,711.75 : 828,235.13 = 828,235.13 : x
  2. Step 2: Convert to fraction form
    564,711.75/828,235.13 = 828,235.13/x
  3. Step 3: Cross multiply
    564,711.75x = 828,235.13 × 828,235.13
  4. Step 4: Simplify right side
    564,711.75x = 685,973,422,283.77
  5. Step 5: Solve for x
    x = 685,973,422,283.77/564,711.75
  6. Step 6: Final answer
    x = 1,214,731.98

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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.