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Finding the Third Proportional to 597.94 and 801.84

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Solution

The third proportional to 597.94 and 801.84 is: 1,075.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.94 : 801.84 = 801.84 : x
  2. Step 2: Convert to fraction form
    597.94/801.84 = 801.84/x
  3. Step 3: Cross multiply
    597.94x = 801.84 × 801.84
  4. Step 4: Simplify right side
    597.94x = 642,953.40
  5. Step 5: Solve for x
    x = 642,953.40/597.94
  6. Step 6: Final answer
    x = 1,075.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.