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Finding the Third Proportional to 190,383 and 409,473

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Solution

The third proportional to 190,383 and 409,473 is: 880,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,383 : 409,473 = 409,473 : x
  2. Step 2: Convert to fraction form
    190,383/409,473 = 409,473/x
  3. Step 3: Cross multiply
    190,383x = 409,473 × 409,473
  4. Step 4: Simplify right side
    190,383x = 167,668,137,729
  5. Step 5: Solve for x
    x = 167,668,137,729/190,383
  6. Step 6: Final answer
    x = 880,688.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.