Finding the Third Proportional to 257,465 and 538,472
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Solution
The third proportional to 257,465 and 538,472 is: 1,126,180.63
Step by Step Solution
- Step 1: Write the proportion equation
257,465 : 538,472 = 538,472 : x - Step 2: Convert to fraction form
257,465/538,472 = 538,472/x - Step 3: Cross multiply
257,465x = 538,472 × 538,472 - Step 4: Simplify right side
257,465x = 289,952,094,784 - Step 5: Solve for x
x = 289,952,094,784/257,465 - Step 6: Final answer
x = 1,126,180.63
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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.