Finding the Third Proportional to 230,768 and 498,400
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Solution
The third proportional to 230,768 and 498,400 is: 1,076,416.83
Step by Step Solution
- Step 1: Write the proportion equation
230,768 : 498,400 = 498,400 : x - Step 2: Convert to fraction form
230,768/498,400 = 498,400/x - Step 3: Cross multiply
230,768x = 498,400 × 498,400 - Step 4: Simplify right side
230,768x = 248,402,560,000 - Step 5: Solve for x
x = 248,402,560,000/230,768 - Step 6: Final answer
x = 1,076,416.83
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.