Finding the Third Proportional to 517,500 and 785,004
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Solution
The third proportional to 517,500 and 785,004 is: 1,190,785.08
Step by Step Solution
- Step 1: Write the proportion equation
517,500 : 785,004 = 785,004 : x - Step 2: Convert to fraction form
517,500/785,004 = 785,004/x - Step 3: Cross multiply
517,500x = 785,004 × 785,004 - Step 4: Simplify right side
517,500x = 616,231,280,016 - Step 5: Solve for x
x = 616,231,280,016/517,500 - Step 6: Final answer
x = 1,190,785.08
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.