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Finding the Third Proportional to 442,159.50 and 947,355

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Solution

The third proportional to 442,159.50 and 947,355 is: 2,029,768.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,159.50 : 947,355 = 947,355 : x
  2. Step 2: Convert to fraction form
    442,159.50/947,355 = 947,355/x
  3. Step 3: Cross multiply
    442,159.50x = 947,355 × 947,355
  4. Step 4: Simplify right side
    442,159.50x = 897,481,496,025
  5. Step 5: Solve for x
    x = 897,481,496,025/442,159.50
  6. Step 6: Final answer
    x = 2,029,768.66

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Why These Related Problems?

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