Finding the Third Proportional to 294,038 and 432,442
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Solution
The third proportional to 294,038 and 432,442 is: 635,992.91
Step by Step Solution
- Step 1: Write the proportion equation
294,038 : 432,442 = 432,442 : x - Step 2: Convert to fraction form
294,038/432,442 = 432,442/x - Step 3: Cross multiply
294,038x = 432,442 × 432,442 - Step 4: Simplify right side
294,038x = 187,006,083,364 - Step 5: Solve for x
x = 187,006,083,364/294,038 - Step 6: Final answer
x = 635,992.91
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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.