Finding the Third Proportional to 564.75 and 875.25
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Solution
The third proportional to 564.75 and 875.25 is: 1,356.46
Step by Step Solution
- Step 1: Write the proportion equation
564.75 : 875.25 = 875.25 : x - Step 2: Convert to fraction form
564.75/875.25 = 875.25/x - Step 3: Cross multiply
564.75x = 875.25 × 875.25 - Step 4: Simplify right side
564.75x = 766,062.56 - Step 5: Solve for x
x = 766,062.56/564.75 - Step 6: Final answer
x = 1,356.46
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.