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Finding the Third Proportional to 190,487 and 418,342

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Solution

The third proportional to 190,487 and 418,342 is: 918,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,487 : 418,342 = 418,342 : x
  2. Step 2: Convert to fraction form
    190,487/418,342 = 418,342/x
  3. Step 3: Cross multiply
    190,487x = 418,342 × 418,342
  4. Step 4: Simplify right side
    190,487x = 175,010,028,964
  5. Step 5: Solve for x
    x = 175,010,028,964/190,487
  6. Step 6: Final answer
    x = 918,750.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.