Finding the Third Proportional to 516,098 and 781,923
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Solution
The third proportional to 516,098 and 781,923 is: 1,184,665.66
Step by Step Solution
- Step 1: Write the proportion equation
516,098 : 781,923 = 781,923 : x - Step 2: Convert to fraction form
516,098/781,923 = 781,923/x - Step 3: Cross multiply
516,098x = 781,923 × 781,923 - Step 4: Simplify right side
516,098x = 611,403,577,929 - Step 5: Solve for x
x = 611,403,577,929/516,098 - Step 6: Final answer
x = 1,184,665.66
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.