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Finding the Third Proportional to 280,607.63 and 427,917.09

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Solution

The third proportional to 280,607.63 and 427,917.09 is: 652,559.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,607.63 : 427,917.09 = 427,917.09 : x
  2. Step 2: Convert to fraction form
    280,607.63/427,917.09 = 427,917.09/x
  3. Step 3: Cross multiply
    280,607.63x = 427,917.09 × 427,917.09
  4. Step 4: Simplify right side
    280,607.63x = 183,113,039,123.45
  5. Step 5: Solve for x
    x = 183,113,039,123.45/280,607.63
  6. Step 6: Final answer
    x = 652,559.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.