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Finding the Third Proportional to 190,642 and 418,628

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Solution

The third proportional to 190,642 and 418,628 is: 919,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,642 : 418,628 = 418,628 : x
  2. Step 2: Convert to fraction form
    190,642/418,628 = 418,628/x
  3. Step 3: Cross multiply
    190,642x = 418,628 × 418,628
  4. Step 4: Simplify right side
    190,642x = 175,249,402,384
  5. Step 5: Solve for x
    x = 175,249,402,384/190,642
  6. Step 6: Final answer
    x = 919,259.15

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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.