Finding the Third Proportional to 286,394 and 565,557
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Solution
The third proportional to 286,394 and 565,557 is: 1,116,834.57
Step by Step Solution
- Step 1: Write the proportion equation
286,394 : 565,557 = 565,557 : x - Step 2: Convert to fraction form
286,394/565,557 = 565,557/x - Step 3: Cross multiply
286,394x = 565,557 × 565,557 - Step 4: Simplify right side
286,394x = 319,854,720,249 - Step 5: Solve for x
x = 319,854,720,249/286,394 - Step 6: Final answer
x = 1,116,834.57
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Why These Related Problems?
These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.