Finding the Third Proportional to 473,762 and 703,427
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Solution
The third proportional to 473,762 and 703,427 is: 1,044,426.41
Step by Step Solution
- Step 1: Write the proportion equation
473,762 : 703,427 = 703,427 : x - Step 2: Convert to fraction form
473,762/703,427 = 703,427/x - Step 3: Cross multiply
473,762x = 703,427 × 703,427 - Step 4: Simplify right side
473,762x = 494,809,544,329 - Step 5: Solve for x
x = 494,809,544,329/473,762 - Step 6: Final answer
x = 1,044,426.41
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.