Finding the Third Proportional to 231,426 and 507,240
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Solution
The third proportional to 231,426 and 507,240 is: 1,111,769.71
Step by Step Solution
- Step 1: Write the proportion equation
231,426 : 507,240 = 507,240 : x - Step 2: Convert to fraction form
231,426/507,240 = 507,240/x - Step 3: Cross multiply
231,426x = 507,240 × 507,240 - Step 4: Simplify right side
231,426x = 257,292,417,600 - Step 5: Solve for x
x = 257,292,417,600/231,426 - Step 6: Final answer
x = 1,111,769.71
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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.