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Finding the Third Proportional to 294,234.79 and 623,779.10

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Solution

The third proportional to 294,234.79 and 623,779.10 is: 1,322,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,234.79 : 623,779.10 = 623,779.10 : x
  2. Step 2: Convert to fraction form
    294,234.79/623,779.10 = 623,779.10/x
  3. Step 3: Cross multiply
    294,234.79x = 623,779.10 × 623,779.10
  4. Step 4: Simplify right side
    294,234.79x = 389,100,367,546.12
  5. Step 5: Solve for x
    x = 389,100,367,546.12/294,234.79
  6. Step 6: Final answer
    x = 1,322,414.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.