Finding the Third Proportional to 507,804 and 788,822
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Solution
The third proportional to 507,804 and 788,822 is: 1,225,354.96
Step by Step Solution
- Step 1: Write the proportion equation
507,804 : 788,822 = 788,822 : x - Step 2: Convert to fraction form
507,804/788,822 = 788,822/x - Step 3: Cross multiply
507,804x = 788,822 × 788,822 - Step 4: Simplify right side
507,804x = 622,240,147,684 - Step 5: Solve for x
x = 622,240,147,684/507,804 - Step 6: Final answer
x = 1,225,354.96
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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.