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Finding the Third Proportional to 305,626.50 and 668,047.50

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Solution

The third proportional to 305,626.50 and 668,047.50 is: 1,460,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,626.50 : 668,047.50 = 668,047.50 : x
  2. Step 2: Convert to fraction form
    305,626.50/668,047.50 = 668,047.50/x
  3. Step 3: Cross multiply
    305,626.50x = 668,047.50 × 668,047.50
  4. Step 4: Simplify right side
    305,626.50x = 446,287,462,256.25
  5. Step 5: Solve for x
    x = 446,287,462,256.25/305,626.50
  6. Step 6: Final answer
    x = 1,460,238.11

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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.