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Finding the Third Proportional to 294,237.75 and 623,784.75

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Solution

The third proportional to 294,237.75 and 623,784.75 is: 1,322,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,237.75 : 623,784.75 = 623,784.75 : x
  2. Step 2: Convert to fraction form
    294,237.75/623,784.75 = 623,784.75/x
  3. Step 3: Cross multiply
    294,237.75x = 623,784.75 × 623,784.75
  4. Step 4: Simplify right side
    294,237.75x = 389,107,414,332.56
  5. Step 5: Solve for x
    x = 389,107,414,332.56/294,237.75
  6. Step 6: Final answer
    x = 1,322,425.20

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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.