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Finding the Third Proportional to 294,242.50 and 623,794

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Solution

The third proportional to 294,242.50 and 623,794 is: 1,322,443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,242.50 : 623,794 = 623,794 : x
  2. Step 2: Convert to fraction form
    294,242.50/623,794 = 623,794/x
  3. Step 3: Cross multiply
    294,242.50x = 623,794 × 623,794
  4. Step 4: Simplify right side
    294,242.50x = 389,118,954,436
  5. Step 5: Solve for x
    x = 389,118,954,436/294,242.50
  6. Step 6: Final answer
    x = 1,322,443.07

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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.