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Finding the Third Proportional to 190,294 and 414,490

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Solution

The third proportional to 190,294 and 414,490 is: 902,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,294 : 414,490 = 414,490 : x
  2. Step 2: Convert to fraction form
    190,294/414,490 = 414,490/x
  3. Step 3: Cross multiply
    190,294x = 414,490 × 414,490
  4. Step 4: Simplify right side
    190,294x = 171,801,960,100
  5. Step 5: Solve for x
    x = 171,801,960,100/190,294
  6. Step 6: Final answer
    x = 902,823.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.