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Finding the Third Proportional to 744.82 and 1,526.98

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Solution

The third proportional to 744.82 and 1,526.98 is: 3,130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.82 : 1,526.98 = 1,526.98 : x
  2. Step 2: Convert to fraction form
    744.82/1,526.98 = 1,526.98/x
  3. Step 3: Cross multiply
    744.82x = 1,526.98 × 1,526.98
  4. Step 4: Simplify right side
    744.82x = 2,331,657.42
  5. Step 5: Solve for x
    x = 2,331,657.42/744.82
  6. Step 6: Final answer
    x = 3,130.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.