Finding the Third Proportional to 402,427.50 and 564,039
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Solution
The third proportional to 402,427.50 and 564,039 is: 790,552.32
Step by Step Solution
- Step 1: Write the proportion equation
402,427.50 : 564,039 = 564,039 : x - Step 2: Convert to fraction form
402,427.50/564,039 = 564,039/x - Step 3: Cross multiply
402,427.50x = 564,039 × 564,039 - Step 4: Simplify right side
402,427.50x = 318,139,993,521 - Step 5: Solve for x
x = 318,139,993,521/402,427.50 - Step 6: Final answer
x = 790,552.32
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.