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Finding the Third Proportional to 554.91 and 1,208.53

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Solution

The third proportional to 554.91 and 1,208.53 is: 2,632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.91 : 1,208.53 = 1,208.53 : x
  2. Step 2: Convert to fraction form
    554.91/1,208.53 = 1,208.53/x
  3. Step 3: Cross multiply
    554.91x = 1,208.53 × 1,208.53
  4. Step 4: Simplify right side
    554.91x = 1,460,547.78
  5. Step 5: Solve for x
    x = 1,460,547.78/554.91
  6. Step 6: Final answer
    x = 2,632.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.