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Finding the Third Proportional to 603,395 and 894,655

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Solution

The third proportional to 603,395 and 894,655 is: 1,326,506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,395 : 894,655 = 894,655 : x
  2. Step 2: Convert to fraction form
    603,395/894,655 = 894,655/x
  3. Step 3: Cross multiply
    603,395x = 894,655 × 894,655
  4. Step 4: Simplify right side
    603,395x = 800,407,569,025
  5. Step 5: Solve for x
    x = 800,407,569,025/603,395
  6. Step 6: Final answer
    x = 1,326,506.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.