Finding the Third Proportional to 468,070 and 705,407
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Solution
The third proportional to 468,070 and 705,407 is: 1,063,086.79
Step by Step Solution
- Step 1: Write the proportion equation
468,070 : 705,407 = 705,407 : x - Step 2: Convert to fraction form
468,070/705,407 = 705,407/x - Step 3: Cross multiply
468,070x = 705,407 × 705,407 - Step 4: Simplify right side
468,070x = 497,599,035,649 - Step 5: Solve for x
x = 497,599,035,649/468,070 - Step 6: Final answer
x = 1,063,086.79
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.