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Finding the Third Proportional to 289,692.07 and 417,930.57

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Solution

The third proportional to 289,692.07 and 417,930.57 is: 602,936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,692.07 : 417,930.57 = 417,930.57 : x
  2. Step 2: Convert to fraction form
    289,692.07/417,930.57 = 417,930.57/x
  3. Step 3: Cross multiply
    289,692.07x = 417,930.57 × 417,930.57
  4. Step 4: Simplify right side
    289,692.07x = 174,665,964,866.81
  5. Step 5: Solve for x
    x = 174,665,964,866.81/289,692.07
  6. Step 6: Final answer
    x = 602,936.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.