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Finding the Third Proportional to 294,242.81 and 623,800.13

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Solution

The third proportional to 294,242.81 and 623,800.13 is: 1,322,467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,242.81 : 623,800.13 = 623,800.13 : x
  2. Step 2: Convert to fraction form
    294,242.81/623,800.13 = 623,800.13/x
  3. Step 3: Cross multiply
    294,242.81x = 623,800.13 × 623,800.13
  4. Step 4: Simplify right side
    294,242.81x = 389,126,595,950.02
  5. Step 5: Solve for x
    x = 389,126,595,950.02/294,242.81
  6. Step 6: Final answer
    x = 1,322,467.63

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