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Finding the Third Proportional to 288,816 and 644,038.50

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Solution

The third proportional to 288,816 and 644,038.50 is: 1,436,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,816 : 644,038.50 = 644,038.50 : x
  2. Step 2: Convert to fraction form
    288,816/644,038.50 = 644,038.50/x
  3. Step 3: Cross multiply
    288,816x = 644,038.50 × 644,038.50
  4. Step 4: Simplify right side
    288,816x = 414,785,589,482.25
  5. Step 5: Solve for x
    x = 414,785,589,482.25/288,816
  6. Step 6: Final answer
    x = 1,436,158.63

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.