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Finding the Third Proportional to 430,493.63 and 938,490.75

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Solution

The third proportional to 430,493.63 and 938,490.75 is: 2,045,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,493.63 : 938,490.75 = 938,490.75 : x
  2. Step 2: Convert to fraction form
    430,493.63/938,490.75 = 938,490.75/x
  3. Step 3: Cross multiply
    430,493.63x = 938,490.75 × 938,490.75
  4. Step 4: Simplify right side
    430,493.63x = 880,764,887,835.56
  5. Step 5: Solve for x
    x = 880,764,887,835.56/430,493.63
  6. Step 6: Final answer
    x = 2,045,941.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.