Finding the Third Proportional to 271,920 and 583,206
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Solution
The third proportional to 271,920 and 583,206 is: 1,250,843.04
Step by Step Solution
- Step 1: Write the proportion equation
271,920 : 583,206 = 583,206 : x - Step 2: Convert to fraction form
271,920/583,206 = 583,206/x - Step 3: Cross multiply
271,920x = 583,206 × 583,206 - Step 4: Simplify right side
271,920x = 340,129,238,436 - Step 5: Solve for x
x = 340,129,238,436/271,920 - Step 6: Final answer
x = 1,250,843.04
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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.