Finding the Third Proportional to 457,857 and 700,398
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Solution
The third proportional to 457,857 and 700,398 is: 1,071,420.46
Step by Step Solution
- Step 1: Write the proportion equation
457,857 : 700,398 = 700,398 : x - Step 2: Convert to fraction form
457,857/700,398 = 700,398/x - Step 3: Cross multiply
457,857x = 700,398 × 700,398 - Step 4: Simplify right side
457,857x = 490,557,358,404 - Step 5: Solve for x
x = 490,557,358,404/457,857 - Step 6: Final answer
x = 1,071,420.46
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.