Finding the Third Proportional to 329,058 and 683,982
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Solution
The third proportional to 329,058 and 683,982 is: 1,421,729.23
Step by Step Solution
- Step 1: Write the proportion equation
329,058 : 683,982 = 683,982 : x - Step 2: Convert to fraction form
329,058/683,982 = 683,982/x - Step 3: Cross multiply
329,058x = 683,982 × 683,982 - Step 4: Simplify right side
329,058x = 467,831,376,324 - Step 5: Solve for x
x = 467,831,376,324/329,058 - Step 6: Final answer
x = 1,421,729.23
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.