Finding the Third Proportional to 482,408 and 709,158
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Solution
The third proportional to 482,408 and 709,158 is: 1,042,489.07
Step by Step Solution
- Step 1: Write the proportion equation
482,408 : 709,158 = 709,158 : x - Step 2: Convert to fraction form
482,408/709,158 = 709,158/x - Step 3: Cross multiply
482,408x = 709,158 × 709,158 - Step 4: Simplify right side
482,408x = 502,905,068,964 - Step 5: Solve for x
x = 502,905,068,964/482,408 - Step 6: Final answer
x = 1,042,489.07
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.