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Finding the Third Proportional to 904.50 and 1,598.06

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Solution

The third proportional to 904.50 and 1,598.06 is: 2,823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.50 : 1,598.06 = 1,598.06 : x
  2. Step 2: Convert to fraction form
    904.50/1,598.06 = 1,598.06/x
  3. Step 3: Cross multiply
    904.50x = 1,598.06 × 1,598.06
  4. Step 4: Simplify right side
    904.50x = 2,553,803.75
  5. Step 5: Solve for x
    x = 2,553,803.75/904.50
  6. Step 6: Final answer
    x = 2,823.44

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.