Finding the Third Proportional to 430,980.75 and 682,102.13
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Solution
The third proportional to 430,980.75 and 682,102.13 is: 1,079,545.45
Step by Step Solution
- Step 1: Write the proportion equation
430,980.75 : 682,102.13 = 682,102.13 : x - Step 2: Convert to fraction form
430,980.75/682,102.13 = 682,102.13/x - Step 3: Cross multiply
430,980.75x = 682,102.13 × 682,102.13 - Step 4: Simplify right side
430,980.75x = 465,263,308,929.52 - Step 5: Solve for x
x = 465,263,308,929.52/430,980.75 - Step 6: Final answer
x = 1,079,545.45
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.