Finding the Third Proportional to 233,306 and 499,657
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Solution
The third proportional to 233,306 and 499,657 is: 1,070,084.43
Step by Step Solution
- Step 1: Write the proportion equation
233,306 : 499,657 = 499,657 : x - Step 2: Convert to fraction form
233,306/499,657 = 499,657/x - Step 3: Cross multiply
233,306x = 499,657 × 499,657 - Step 4: Simplify right side
233,306x = 249,657,117,649 - Step 5: Solve for x
x = 249,657,117,649/233,306 - Step 6: Final answer
x = 1,070,084.43
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.