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Finding the Third Proportional to 190,762 and 407,604

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Solution

The third proportional to 190,762 and 407,604 is: 870,933.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,762 : 407,604 = 407,604 : x
  2. Step 2: Convert to fraction form
    190,762/407,604 = 407,604/x
  3. Step 3: Cross multiply
    190,762x = 407,604 × 407,604
  4. Step 4: Simplify right side
    190,762x = 166,141,020,816
  5. Step 5: Solve for x
    x = 166,141,020,816/190,762
  6. Step 6: Final answer
    x = 870,933.52

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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.