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Finding the Third Proportional to 434,529.56 and 899,130.38

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Solution

The third proportional to 434,529.56 and 899,130.38 is: 1,860,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,529.56 : 899,130.38 = 899,130.38 : x
  2. Step 2: Convert to fraction form
    434,529.56/899,130.38 = 899,130.38/x
  3. Step 3: Cross multiply
    434,529.56x = 899,130.38 × 899,130.38
  4. Step 4: Simplify right side
    434,529.56x = 808,435,431,247.64
  5. Step 5: Solve for x
    x = 808,435,431,247.64/434,529.56
  6. Step 6: Final answer
    x = 1,860,484.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.