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Finding the Third Proportional to 589,072.50 and 906,777

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Solution

The third proportional to 589,072.50 and 906,777 is: 1,395,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,072.50 : 906,777 = 906,777 : x
  2. Step 2: Convert to fraction form
    589,072.50/906,777 = 906,777/x
  3. Step 3: Cross multiply
    589,072.50x = 906,777 × 906,777
  4. Step 4: Simplify right side
    589,072.50x = 822,244,527,729
  5. Step 5: Solve for x
    x = 822,244,527,729/589,072.50
  6. Step 6: Final answer
    x = 1,395,829.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.