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Finding the Third Proportional to 190,574 and 414,361

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Solution

The third proportional to 190,574 and 414,361 is: 900,936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,574 : 414,361 = 414,361 : x
  2. Step 2: Convert to fraction form
    190,574/414,361 = 414,361/x
  3. Step 3: Cross multiply
    190,574x = 414,361 × 414,361
  4. Step 4: Simplify right side
    190,574x = 171,695,038,321
  5. Step 5: Solve for x
    x = 171,695,038,321/190,574
  6. Step 6: Final answer
    x = 900,936.32

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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.