Finding the Third Proportional to 387,076 and 829,448
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Solution
The third proportional to 387,076 and 829,448 is: 1,777,387.35
Step by Step Solution
- Step 1: Write the proportion equation
387,076 : 829,448 = 829,448 : x - Step 2: Convert to fraction form
387,076/829,448 = 829,448/x - Step 3: Cross multiply
387,076x = 829,448 × 829,448 - Step 4: Simplify right side
387,076x = 687,983,984,704 - Step 5: Solve for x
x = 687,983,984,704/387,076 - Step 6: Final answer
x = 1,777,387.35
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.