Finding the Third Proportional to 462,067.50 and 709,929
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Solution
The third proportional to 462,067.50 and 709,929 is: 1,090,747.96
Step by Step Solution
- Step 1: Write the proportion equation
462,067.50 : 709,929 = 709,929 : x - Step 2: Convert to fraction form
462,067.50/709,929 = 709,929/x - Step 3: Cross multiply
462,067.50x = 709,929 × 709,929 - Step 4: Simplify right side
462,067.50x = 503,999,185,041 - Step 5: Solve for x
x = 503,999,185,041/462,067.50 - Step 6: Final answer
x = 1,090,747.96
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.