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Finding the Third Proportional to 491.19 and 1,075.19

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Solution

The third proportional to 491.19 and 1,075.19 is: 2,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.19 : 1,075.19 = 1,075.19 : x
  2. Step 2: Convert to fraction form
    491.19/1,075.19 = 1,075.19/x
  3. Step 3: Cross multiply
    491.19x = 1,075.19 × 1,075.19
  4. Step 4: Simplify right side
    491.19x = 1,156,028.16
  5. Step 5: Solve for x
    x = 1,156,028.16/491.19
  6. Step 6: Final answer
    x = 2,353.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.