Finding the Third Proportional to 498,584 and 773,478
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Solution
The third proportional to 498,584 and 773,478 is: 1,199,934.65
Step by Step Solution
- Step 1: Write the proportion equation
498,584 : 773,478 = 773,478 : x - Step 2: Convert to fraction form
498,584/773,478 = 773,478/x - Step 3: Cross multiply
498,584x = 773,478 × 773,478 - Step 4: Simplify right side
498,584x = 598,268,216,484 - Step 5: Solve for x
x = 598,268,216,484/498,584 - Step 6: Final answer
x = 1,199,934.65
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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.