Finding the Third Proportional to 707 and 978.50
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Solution
The third proportional to 707 and 978.50 is: 1,354.26
Step by Step Solution
- Step 1: Write the proportion equation
707 : 978.50 = 978.50 : x - Step 2: Convert to fraction form
707/978.50 = 978.50/x - Step 3: Cross multiply
707x = 978.50 × 978.50 - Step 4: Simplify right side
707x = 957,462.25 - Step 5: Solve for x
x = 957,462.25/707 - Step 6: Final answer
x = 1,354.26
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.