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Finding the Third Proportional to 590,176 and 894,168

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Solution

The third proportional to 590,176 and 894,168 is: 1,354,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,176 : 894,168 = 894,168 : x
  2. Step 2: Convert to fraction form
    590,176/894,168 = 894,168/x
  3. Step 3: Cross multiply
    590,176x = 894,168 × 894,168
  4. Step 4: Simplify right side
    590,176x = 799,536,412,224
  5. Step 5: Solve for x
    x = 799,536,412,224/590,176
  6. Step 6: Final answer
    x = 1,354,742.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.