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Finding the Third Proportional to 430,485.75 and 938,477.25

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Solution

The third proportional to 430,485.75 and 938,477.25 is: 2,045,920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,485.75 : 938,477.25 = 938,477.25 : x
  2. Step 2: Convert to fraction form
    430,485.75/938,477.25 = 938,477.25/x
  3. Step 3: Cross multiply
    430,485.75x = 938,477.25 × 938,477.25
  4. Step 4: Simplify right side
    430,485.75x = 880,739,548,767.56
  5. Step 5: Solve for x
    x = 880,739,548,767.56/430,485.75
  6. Step 6: Final answer
    x = 2,045,920.33

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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.