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Finding the Third Proportional to 314,960.63 and 484,769.25

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Solution

The third proportional to 314,960.63 and 484,769.25 is: 746,128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,960.63 : 484,769.25 = 484,769.25 : x
  2. Step 2: Convert to fraction form
    314,960.63/484,769.25 = 484,769.25/x
  3. Step 3: Cross multiply
    314,960.63x = 484,769.25 × 484,769.25
  4. Step 4: Simplify right side
    314,960.63x = 235,001,225,745.56
  5. Step 5: Solve for x
    x = 235,001,225,745.56/314,960.63
  6. Step 6: Final answer
    x = 746,128.90

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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.