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Finding the Third Proportional to 442,153.50 and 947,392.50

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Solution

The third proportional to 442,153.50 and 947,392.50 is: 2,029,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,153.50 : 947,392.50 = 947,392.50 : x
  2. Step 2: Convert to fraction form
    442,153.50/947,392.50 = 947,392.50/x
  3. Step 3: Cross multiply
    442,153.50x = 947,392.50 × 947,392.50
  4. Step 4: Simplify right side
    442,153.50x = 897,552,549,056.25
  5. Step 5: Solve for x
    x = 897,552,549,056.25/442,153.50
  6. Step 6: Final answer
    x = 2,029,956.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.