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Finding the Third Proportional to 355,104 and 478,436.63

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Solution

The third proportional to 355,104 and 478,436.63 is: 644,604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,104 : 478,436.63 = 478,436.63 : x
  2. Step 2: Convert to fraction form
    355,104/478,436.63 = 478,436.63/x
  3. Step 3: Cross multiply
    355,104x = 478,436.63 × 478,436.63
  4. Step 4: Simplify right side
    355,104x = 228,901,604,141.39
  5. Step 5: Solve for x
    x = 228,901,604,141.39/355,104
  6. Step 6: Final answer
    x = 644,604.41

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.