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Finding the Third Proportional to 190,573 and 414,358

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Solution

The third proportional to 190,573 and 414,358 is: 900,928.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,573 : 414,358 = 414,358 : x
  2. Step 2: Convert to fraction form
    190,573/414,358 = 414,358/x
  3. Step 3: Cross multiply
    190,573x = 414,358 × 414,358
  4. Step 4: Simplify right side
    190,573x = 171,692,552,164
  5. Step 5: Solve for x
    x = 171,692,552,164/190,573
  6. Step 6: Final answer
    x = 900,928.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.