Finding the Third Proportional to 502,328 and 704,012
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Solution
The third proportional to 502,328 and 704,012 is: 986,671.85
Step by Step Solution
- Step 1: Write the proportion equation
502,328 : 704,012 = 704,012 : x - Step 2: Convert to fraction form
502,328/704,012 = 704,012/x - Step 3: Cross multiply
502,328x = 704,012 × 704,012 - Step 4: Simplify right side
502,328x = 495,632,896,144 - Step 5: Solve for x
x = 495,632,896,144/502,328 - Step 6: Final answer
x = 986,671.85
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.