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Finding the Third Proportional to 434,678.06 and 933,629.63

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Solution

The third proportional to 434,678.06 and 933,629.63 is: 2,005,310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,678.06 : 933,629.63 = 933,629.63 : x
  2. Step 2: Convert to fraction form
    434,678.06/933,629.63 = 933,629.63/x
  3. Step 3: Cross multiply
    434,678.06x = 933,629.63 × 933,629.63
  4. Step 4: Simplify right side
    434,678.06x = 871,664,276,677.64
  5. Step 5: Solve for x
    x = 871,664,276,677.64/434,678.06
  6. Step 6: Final answer
    x = 2,005,310.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.