Finding the Third Proportional to 282,461,284 and 608,205,458
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Solution
The third proportional to 282,461,284 and 608,205,458 is: 1,309,609,139.71
Step by Step Solution
- Step 1: Write the proportion equation
282,461,284 : 608,205,458 = 608,205,458 : x - Step 2: Convert to fraction form
282,461,284/608,205,458 = 608,205,458/x - Step 3: Cross multiply
282,461,284x = 608,205,458 × 608,205,458 - Step 4: Simplify right side
282,461,284x = 369,913,879,140,989,760 - Step 5: Solve for x
x = 369,913,879,140,989,760/282,461,284 - Step 6: Final answer
x = 1,309,609,139.71
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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.