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Finding the Third Proportional to 509.06 and 1,051.88

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Solution

The third proportional to 509.06 and 1,051.88 is: 2,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.06 : 1,051.88 = 1,051.88 : x
  2. Step 2: Convert to fraction form
    509.06/1,051.88 = 1,051.88/x
  3. Step 3: Cross multiply
    509.06x = 1,051.88 × 1,051.88
  4. Step 4: Simplify right side
    509.06x = 1,106,441.02
  5. Step 5: Solve for x
    x = 1,106,441.02/509.06
  6. Step 6: Final answer
    x = 2,173.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.