Finding the Third Proportional to 584,203.50 and 1,214,844
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Solution
The third proportional to 584,203.50 and 1,214,844 is: 2,526,253.17
Step by Step Solution
- Step 1: Write the proportion equation
584,203.50 : 1,214,844 = 1,214,844 : x - Step 2: Convert to fraction form
584,203.50/1,214,844 = 1,214,844/x - Step 3: Cross multiply
584,203.50x = 1,214,844 × 1,214,844 - Step 4: Simplify right side
584,203.50x = 1,475,845,944,336 - Step 5: Solve for x
x = 1,475,845,944,336/584,203.50 - Step 6: Final answer
x = 2,526,253.17
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.