Finding the Third Proportional to 259,408 and 568,025
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Solution
The third proportional to 259,408 and 568,025 is: 1,243,802.81
Step by Step Solution
- Step 1: Write the proportion equation
259,408 : 568,025 = 568,025 : x - Step 2: Convert to fraction form
259,408/568,025 = 568,025/x - Step 3: Cross multiply
259,408x = 568,025 × 568,025 - Step 4: Simplify right side
259,408x = 322,652,400,625 - Step 5: Solve for x
x = 322,652,400,625/259,408 - Step 6: Final answer
x = 1,243,802.81
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.