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Finding the Third Proportional to 584,424 and 855,616.50

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Solution

The third proportional to 584,424 and 855,616.50 is: 1,252,651.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,424 : 855,616.50 = 855,616.50 : x
  2. Step 2: Convert to fraction form
    584,424/855,616.50 = 855,616.50/x
  3. Step 3: Cross multiply
    584,424x = 855,616.50 × 855,616.50
  4. Step 4: Simplify right side
    584,424x = 732,079,595,072.25
  5. Step 5: Solve for x
    x = 732,079,595,072.25/584,424
  6. Step 6: Final answer
    x = 1,252,651.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.