Finding the Third Proportional to 381,034.13 and 561,024.98
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Solution
The third proportional to 381,034.13 and 561,024.98 is: 826,038.96
Step by Step Solution
- Step 1: Write the proportion equation
381,034.13 : 561,024.98 = 561,024.98 : x - Step 2: Convert to fraction form
381,034.13/561,024.98 = 561,024.98/x - Step 3: Cross multiply
381,034.13x = 561,024.98 × 561,024.98 - Step 4: Simplify right side
381,034.13x = 314,749,033,092.97 - Step 5: Solve for x
x = 314,749,033,092.97/381,034.13 - Step 6: Final answer
x = 826,038.96
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.