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Finding the Third Proportional to 294,637.50 and 624,327.75

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Solution

The third proportional to 294,637.50 and 624,327.75 is: 1,322,931.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,637.50 : 624,327.75 = 624,327.75 : x
  2. Step 2: Convert to fraction form
    294,637.50/624,327.75 = 624,327.75/x
  3. Step 3: Cross multiply
    294,637.50x = 624,327.75 × 624,327.75
  4. Step 4: Simplify right side
    294,637.50x = 389,785,139,420.06
  5. Step 5: Solve for x
    x = 389,785,139,420.06/294,637.50
  6. Step 6: Final answer
    x = 1,322,931.19

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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.