Finding the Third Proportional to 286,224 and 420,583
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Solution
The third proportional to 286,224 and 420,583 is: 618,012.67
Step by Step Solution
- Step 1: Write the proportion equation
286,224 : 420,583 = 420,583 : x - Step 2: Convert to fraction form
286,224/420,583 = 420,583/x - Step 3: Cross multiply
286,224x = 420,583 × 420,583 - Step 4: Simplify right side
286,224x = 176,890,059,889 - Step 5: Solve for x
x = 176,890,059,889/286,224 - Step 6: Final answer
x = 618,012.67
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.