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Finding the Third Proportional to 595,215 and 894,177

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Solution

The third proportional to 595,215 and 894,177 is: 1,343,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,215 : 894,177 = 894,177 : x
  2. Step 2: Convert to fraction form
    595,215/894,177 = 894,177/x
  3. Step 3: Cross multiply
    595,215x = 894,177 × 894,177
  4. Step 4: Simplify right side
    595,215x = 799,552,507,329
  5. Step 5: Solve for x
    x = 799,552,507,329/595,215
  6. Step 6: Final answer
    x = 1,343,300.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.