Finding the Third Proportional to 535,734 and 830,061
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Solution
The third proportional to 535,734 and 830,061 is: 1,286,088.36
Step by Step Solution
- Step 1: Write the proportion equation
535,734 : 830,061 = 830,061 : x - Step 2: Convert to fraction form
535,734/830,061 = 830,061/x - Step 3: Cross multiply
535,734x = 830,061 × 830,061 - Step 4: Simplify right side
535,734x = 689,001,263,721 - Step 5: Solve for x
x = 689,001,263,721/535,734 - Step 6: Final answer
x = 1,286,088.36
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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.