Finding the Third Proportional to 229,308 and 539,547
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Solution
The third proportional to 229,308 and 539,547 is: 1,269,519.45
Step by Step Solution
- Step 1: Write the proportion equation
229,308 : 539,547 = 539,547 : x - Step 2: Convert to fraction form
229,308/539,547 = 539,547/x - Step 3: Cross multiply
229,308x = 539,547 × 539,547 - Step 4: Simplify right side
229,308x = 291,110,965,209 - Step 5: Solve for x
x = 291,110,965,209/229,308 - Step 6: Final answer
x = 1,269,519.45
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Why These Related Problems?
These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.