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Finding the Third Proportional to 897.84 and 1,427.77

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Solution

The third proportional to 897.84 and 1,427.77 is: 2,270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.84 : 1,427.77 = 1,427.77 : x
  2. Step 2: Convert to fraction form
    897.84/1,427.77 = 1,427.77/x
  3. Step 3: Cross multiply
    897.84x = 1,427.77 × 1,427.77
  4. Step 4: Simplify right side
    897.84x = 2,038,514.68
  5. Step 5: Solve for x
    x = 2,038,514.68/897.84
  6. Step 6: Final answer
    x = 2,270.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.