Finding the Third Proportional to 535,738 and 830,068
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Solution
The third proportional to 535,738 and 830,068 is: 1,286,100.45
Step by Step Solution
- Step 1: Write the proportion equation
535,738 : 830,068 = 830,068 : x - Step 2: Convert to fraction form
535,738/830,068 = 830,068/x - Step 3: Cross multiply
535,738x = 830,068 × 830,068 - Step 4: Simplify right side
535,738x = 689,012,884,624 - Step 5: Solve for x
x = 689,012,884,624/535,738 - Step 6: Final answer
x = 1,286,100.45
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.