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Finding the Third Proportional to 585.98 and 784.05

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Solution

The third proportional to 585.98 and 784.05 is: 1,049.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.98 : 784.05 = 784.05 : x
  2. Step 2: Convert to fraction form
    585.98/784.05 = 784.05/x
  3. Step 3: Cross multiply
    585.98x = 784.05 × 784.05
  4. Step 4: Simplify right side
    585.98x = 614,741.75
  5. Step 5: Solve for x
    x = 614,741.75/585.98
  6. Step 6: Final answer
    x = 1,049.08

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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.