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Finding the Third Proportional to 467,931 and 958,039.50

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Solution

The third proportional to 467,931 and 958,039.50 is: 1,961,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,931 : 958,039.50 = 958,039.50 : x
  2. Step 2: Convert to fraction form
    467,931/958,039.50 = 958,039.50/x
  3. Step 3: Cross multiply
    467,931x = 958,039.50 × 958,039.50
  4. Step 4: Simplify right side
    467,931x = 917,839,683,560.25
  5. Step 5: Solve for x
    x = 917,839,683,560.25/467,931
  6. Step 6: Final answer
    x = 1,961,485.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.