Finding the Third Proportional to 740 and 1,580
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Solution
The third proportional to 740 and 1,580 is: 3,373.51
Step by Step Solution
- Step 1: Write the proportion equation
740 : 1,580 = 1,580 : x - Step 2: Convert to fraction form
740/1,580 = 1,580/x - Step 3: Cross multiply
740x = 1,580 × 1,580 - Step 4: Simplify right side
740x = 2,496,400 - Step 5: Solve for x
x = 2,496,400/740 - Step 6: Final answer
x = 3,373.51
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.