Finding the Third Proportional to 286,570.50 and 430,575.75
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Solution
The third proportional to 286,570.50 and 430,575.75 is: 646,945.43
Step by Step Solution
- Step 1: Write the proportion equation
286,570.50 : 430,575.75 = 430,575.75 : x - Step 2: Convert to fraction form
286,570.50/430,575.75 = 430,575.75/x - Step 3: Cross multiply
286,570.50x = 430,575.75 × 430,575.75 - Step 4: Simplify right side
286,570.50x = 185,395,476,488.06 - Step 5: Solve for x
x = 185,395,476,488.06/286,570.50 - Step 6: Final answer
x = 646,945.43
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.