Finding the Third Proportional to 286,009 and 427,501.50
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Solution
The third proportional to 286,009 and 427,501.50 is: 638,992.24
Step by Step Solution
- Step 1: Write the proportion equation
286,009 : 427,501.50 = 427,501.50 : x - Step 2: Convert to fraction form
286,009/427,501.50 = 427,501.50/x - Step 3: Cross multiply
286,009x = 427,501.50 × 427,501.50 - Step 4: Simplify right side
286,009x = 182,757,532,502.25 - Step 5: Solve for x
x = 182,757,532,502.25/286,009 - Step 6: Final answer
x = 638,992.24
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.