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Finding the Third Proportional to 274,651.50 and 601,668.25

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Solution

The third proportional to 274,651.50 and 601,668.25 is: 1,318,051.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,651.50 : 601,668.25 = 601,668.25 : x
  2. Step 2: Convert to fraction form
    274,651.50/601,668.25 = 601,668.25/x
  3. Step 3: Cross multiply
    274,651.50x = 601,668.25 × 601,668.25
  4. Step 4: Simplify right side
    274,651.50x = 362,004,683,058.06
  5. Step 5: Solve for x
    x = 362,004,683,058.06/274,651.50
  6. Step 6: Final answer
    x = 1,318,051.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.