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Finding the Third Proportional to 594.84 and 805.36

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Solution

The third proportional to 594.84 and 805.36 is: 1,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.84 : 805.36 = 805.36 : x
  2. Step 2: Convert to fraction form
    594.84/805.36 = 805.36/x
  3. Step 3: Cross multiply
    594.84x = 805.36 × 805.36
  4. Step 4: Simplify right side
    594.84x = 648,603.72
  5. Step 5: Solve for x
    x = 648,603.72/594.84
  6. Step 6: Final answer
    x = 1,090.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.