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Finding the Third Proportional to 594,252 and 894,216

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Solution

The third proportional to 594,252 and 894,216 is: 1,345,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,252 : 894,216 = 894,216 : x
  2. Step 2: Convert to fraction form
    594,252/894,216 = 894,216/x
  3. Step 3: Cross multiply
    594,252x = 894,216 × 894,216
  4. Step 4: Simplify right side
    594,252x = 799,622,254,656
  5. Step 5: Solve for x
    x = 799,622,254,656/594,252
  6. Step 6: Final answer
    x = 1,345,594.55

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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.