Finding the Third Proportional to 233,690 and 506,746
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Solution
The third proportional to 233,690 and 506,746 is: 1,098,855.36
Step by Step Solution
- Step 1: Write the proportion equation
233,690 : 506,746 = 506,746 : x - Step 2: Convert to fraction form
233,690/506,746 = 506,746/x - Step 3: Cross multiply
233,690x = 506,746 × 506,746 - Step 4: Simplify right side
233,690x = 256,791,508,516 - Step 5: Solve for x
x = 256,791,508,516/233,690 - Step 6: Final answer
x = 1,098,855.36
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.