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Finding the Third Proportional to 584.88 and 904.88

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Solution

The third proportional to 584.88 and 904.88 is: 1,399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.88 : 904.88 = 904.88 : x
  2. Step 2: Convert to fraction form
    584.88/904.88 = 904.88/x
  3. Step 3: Cross multiply
    584.88x = 904.88 × 904.88
  4. Step 4: Simplify right side
    584.88x = 818,798.77
  5. Step 5: Solve for x
    x = 818,798.77/584.88
  6. Step 6: Final answer
    x = 1,399.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.