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Finding the Third Proportional to 308,448.19 and 420,208.03

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Solution

The third proportional to 308,448.19 and 420,208.03 is: 572,461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,448.19 : 420,208.03 = 420,208.03 : x
  2. Step 2: Convert to fraction form
    308,448.19/420,208.03 = 420,208.03/x
  3. Step 3: Cross multiply
    308,448.19x = 420,208.03 × 420,208.03
  4. Step 4: Simplify right side
    308,448.19x = 176,574,789,527.00
  5. Step 5: Solve for x
    x = 176,574,789,527.00/308,448.19
  6. Step 6: Final answer
    x = 572,461.75

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.