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Finding the Third Proportional to 897.09 and 1,364.63

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Solution

The third proportional to 897.09 and 1,364.63 is: 2,075.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.09 : 1,364.63 = 1,364.63 : x
  2. Step 2: Convert to fraction form
    897.09/1,364.63 = 1,364.63/x
  3. Step 3: Cross multiply
    897.09x = 1,364.63 × 1,364.63
  4. Step 4: Simplify right side
    897.09x = 1,862,201.39
  5. Step 5: Solve for x
    x = 1,862,201.39/897.09
  6. Step 6: Final answer
    x = 2,075.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.