Finding the Third Proportional to 535,014 and 782,827
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Solution
The third proportional to 535,014 and 782,827 is: 1,145,424.44
Step by Step Solution
- Step 1: Write the proportion equation
535,014 : 782,827 = 782,827 : x - Step 2: Convert to fraction form
535,014/782,827 = 782,827/x - Step 3: Cross multiply
535,014x = 782,827 × 782,827 - Step 4: Simplify right side
535,014x = 612,818,111,929 - Step 5: Solve for x
x = 612,818,111,929/535,014 - Step 6: Final answer
x = 1,145,424.44
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.