Finding the Third Proportional to 230,964 and 506,022
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Solution
The third proportional to 230,964 and 506,022 is: 1,108,650.11
Step by Step Solution
- Step 1: Write the proportion equation
230,964 : 506,022 = 506,022 : x - Step 2: Convert to fraction form
230,964/506,022 = 506,022/x - Step 3: Cross multiply
230,964x = 506,022 × 506,022 - Step 4: Simplify right side
230,964x = 256,058,264,484 - Step 5: Solve for x
x = 256,058,264,484/230,964 - Step 6: Final answer
x = 1,108,650.11
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.