Finding the Third Proportional to 315,970 and 513,342
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Solution
The third proportional to 315,970 and 513,342 is: 834,003.26
Step by Step Solution
- Step 1: Write the proportion equation
315,970 : 513,342 = 513,342 : x - Step 2: Convert to fraction form
315,970/513,342 = 513,342/x - Step 3: Cross multiply
315,970x = 513,342 × 513,342 - Step 4: Simplify right side
315,970x = 263,520,008,964 - Step 5: Solve for x
x = 263,520,008,964/315,970 - Step 6: Final answer
x = 834,003.26
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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.