Finding the Third Proportional to 491,196 and 760,772
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Solution
The third proportional to 491,196 and 760,772 is: 1,178,295.50
Step by Step Solution
- Step 1: Write the proportion equation
491,196 : 760,772 = 760,772 : x - Step 2: Convert to fraction form
491,196/760,772 = 760,772/x - Step 3: Cross multiply
491,196x = 760,772 × 760,772 - Step 4: Simplify right side
491,196x = 578,774,035,984 - Step 5: Solve for x
x = 578,774,035,984/491,196 - Step 6: Final answer
x = 1,178,295.50
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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.