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Finding the Third Proportional to 368,922 and 564,089

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Solution

The third proportional to 368,922 and 564,089 is: 862,503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,922 : 564,089 = 564,089 : x
  2. Step 2: Convert to fraction form
    368,922/564,089 = 564,089/x
  3. Step 3: Cross multiply
    368,922x = 564,089 × 564,089
  4. Step 4: Simplify right side
    368,922x = 318,196,399,921
  5. Step 5: Solve for x
    x = 318,196,399,921/368,922
  6. Step 6: Final answer
    x = 862,503.18

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.