Finding the Third Proportional to 583,270 and 834,078
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Solution
The third proportional to 583,270 and 834,078 is: 1,192,734.26
Step by Step Solution
- Step 1: Write the proportion equation
583,270 : 834,078 = 834,078 : x - Step 2: Convert to fraction form
583,270/834,078 = 834,078/x - Step 3: Cross multiply
583,270x = 834,078 × 834,078 - Step 4: Simplify right side
583,270x = 695,686,110,084 - Step 5: Solve for x
x = 695,686,110,084/583,270 - Step 6: Final answer
x = 1,192,734.26
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.