Finding the Third Proportional to 284,011.52 and 415,032.19
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Solution
The third proportional to 284,011.52 and 415,032.19 is: 606,495.52
Step by Step Solution
- Step 1: Write the proportion equation
284,011.52 : 415,032.19 = 415,032.19 : x - Step 2: Convert to fraction form
284,011.52/415,032.19 = 415,032.19/x - Step 3: Cross multiply
284,011.52x = 415,032.19 × 415,032.19 - Step 4: Simplify right side
284,011.52x = 172,251,716,661.04 - Step 5: Solve for x
x = 172,251,716,661.04/284,011.52 - Step 6: Final answer
x = 606,495.52
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.