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Finding the Third Proportional to 381,646,444.50 and 583,569,056.25

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Solution

The third proportional to 381,646,444.50 and 583,569,056.25 is: 892,325,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,646,444.50 : 583,569,056.25 = 583,569,056.25 : x
  2. Step 2: Convert to fraction form
    381,646,444.50/583,569,056.25 = 583,569,056.25/x
  3. Step 3: Cross multiply
    381,646,444.50x = 583,569,056.25 × 583,569,056.25
  4. Step 4: Simplify right side
    381,646,444.50x = 340,552,843,412,515,648
  5. Step 5: Solve for x
    x = 340,552,843,412,515,648/381,646,444.50
  6. Step 6: Final answer
    x = 892,325,471.18

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Why These Related Problems?

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