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Finding the Third Proportional to 300,422.25 and 463,880.25

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Solution

The third proportional to 300,422.25 and 463,880.25 is: 716,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,422.25 : 463,880.25 = 463,880.25 : x
  2. Step 2: Convert to fraction form
    300,422.25/463,880.25 = 463,880.25/x
  3. Step 3: Cross multiply
    300,422.25x = 463,880.25 × 463,880.25
  4. Step 4: Simplify right side
    300,422.25x = 215,184,886,340.06
  5. Step 5: Solve for x
    x = 215,184,886,340.06/300,422.25
  6. Step 6: Final answer
    x = 716,274.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.