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Finding the Third Proportional to 430,464.75 and 938,434.88

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Solution

The third proportional to 430,464.75 and 938,434.88 is: 2,045,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,464.75 : 938,434.88 = 938,434.88 : x
  2. Step 2: Convert to fraction form
    430,464.75/938,434.88 = 938,434.88/x
  3. Step 3: Cross multiply
    430,464.75x = 938,434.88 × 938,434.88
  4. Step 4: Simplify right side
    430,464.75x = 880,660,014,616.27
  5. Step 5: Solve for x
    x = 880,660,014,616.27/430,464.75
  6. Step 6: Final answer
    x = 2,045,835.38

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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.