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Finding the Third Proportional to 314,961.75 and 484,771.50

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Solution

The third proportional to 314,961.75 and 484,771.50 is: 746,133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,961.75 : 484,771.50 = 484,771.50 : x
  2. Step 2: Convert to fraction form
    314,961.75/484,771.50 = 484,771.50/x
  3. Step 3: Cross multiply
    314,961.75x = 484,771.50 × 484,771.50
  4. Step 4: Simplify right side
    314,961.75x = 235,003,407,212.25
  5. Step 5: Solve for x
    x = 235,003,407,212.25/314,961.75
  6. Step 6: Final answer
    x = 746,133.16

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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.