Finding the Third Proportional to 465,780 and 721,428
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Solution
The third proportional to 465,780 and 721,428 is: 1,117,390.96
Step by Step Solution
- Step 1: Write the proportion equation
465,780 : 721,428 = 721,428 : x - Step 2: Convert to fraction form
465,780/721,428 = 721,428/x - Step 3: Cross multiply
465,780x = 721,428 × 721,428 - Step 4: Simplify right side
465,780x = 520,458,359,184 - Step 5: Solve for x
x = 520,458,359,184/465,780 - Step 6: Final answer
x = 1,117,390.96
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.