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Finding the Third Proportional to 597.09 and 904.78

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Solution

The third proportional to 597.09 and 904.78 is: 1,371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.09 : 904.78 = 904.78 : x
  2. Step 2: Convert to fraction form
    597.09/904.78 = 904.78/x
  3. Step 3: Cross multiply
    597.09x = 904.78 × 904.78
  4. Step 4: Simplify right side
    597.09x = 818,629.11
  5. Step 5: Solve for x
    x = 818,629.11/597.09
  6. Step 6: Final answer
    x = 1,371.02

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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.