Finding the Third Proportional to 328,472.50 and 706,046
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Solution
The third proportional to 328,472.50 and 706,046 is: 1,517,633.76
Step by Step Solution
- Step 1: Write the proportion equation
328,472.50 : 706,046 = 706,046 : x - Step 2: Convert to fraction form
328,472.50/706,046 = 706,046/x - Step 3: Cross multiply
328,472.50x = 706,046 × 706,046 - Step 4: Simplify right side
328,472.50x = 498,500,954,116 - Step 5: Solve for x
x = 498,500,954,116/328,472.50 - Step 6: Final answer
x = 1,517,633.76
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.