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Finding the Third Proportional to 286,537.50 and 622,826.72

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Solution

The third proportional to 286,537.50 and 622,826.72 is: 1,353,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,537.50 : 622,826.72 = 622,826.72 : x
  2. Step 2: Convert to fraction form
    286,537.50/622,826.72 = 622,826.72/x
  3. Step 3: Cross multiply
    286,537.50x = 622,826.72 × 622,826.72
  4. Step 4: Simplify right side
    286,537.50x = 387,913,121,588.89
  5. Step 5: Solve for x
    x = 387,913,121,588.89/286,537.50
  6. Step 6: Final answer
    x = 1,353,795.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.