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Finding the Third Proportional to 430,477.03 and 938,458.41

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Solution

The third proportional to 430,477.03 and 938,458.41 is: 2,045,879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,477.03 : 938,458.41 = 938,458.41 : x
  2. Step 2: Convert to fraction form
    430,477.03/938,458.41 = 938,458.41/x
  3. Step 3: Cross multiply
    430,477.03x = 938,458.41 × 938,458.41
  4. Step 4: Simplify right side
    430,477.03x = 880,704,180,261.29
  5. Step 5: Solve for x
    x = 880,704,180,261.29/430,477.03
  6. Step 6: Final answer
    x = 2,045,879.61

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Why These Related Problems?

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