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Finding the Third Proportional to 254,529.21 and 526,674.02

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Solution

The third proportional to 254,529.21 and 526,674.02 is: 1,089,798.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,529.21 : 526,674.02 = 526,674.02 : x
  2. Step 2: Convert to fraction form
    254,529.21/526,674.02 = 526,674.02/x
  3. Step 3: Cross multiply
    254,529.21x = 526,674.02 × 526,674.02
  4. Step 4: Simplify right side
    254,529.21x = 277,385,526,963.84
  5. Step 5: Solve for x
    x = 277,385,526,963.84/254,529.21
  6. Step 6: Final answer
    x = 1,089,798.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.