Finding the Third Proportional to 472,878 and 707,649
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Solution
The third proportional to 472,878 and 707,649 is: 1,058,977.38
Step by Step Solution
- Step 1: Write the proportion equation
472,878 : 707,649 = 707,649 : x - Step 2: Convert to fraction form
472,878/707,649 = 707,649/x - Step 3: Cross multiply
472,878x = 707,649 × 707,649 - Step 4: Simplify right side
472,878x = 500,767,107,201 - Step 5: Solve for x
x = 500,767,107,201/472,878 - Step 6: Final answer
x = 1,058,977.38
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.