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Finding the Third Proportional to 740.25 and 1,606.50

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Solution

The third proportional to 740.25 and 1,606.50 is: 3,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.25 : 1,606.50 = 1,606.50 : x
  2. Step 2: Convert to fraction form
    740.25/1,606.50 = 1,606.50/x
  3. Step 3: Cross multiply
    740.25x = 1,606.50 × 1,606.50
  4. Step 4: Simplify right side
    740.25x = 2,580,842.25
  5. Step 5: Solve for x
    x = 2,580,842.25/740.25
  6. Step 6: Final answer
    x = 3,486.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.