Finding the Third Proportional to 307,701 and 646,501.50
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Solution
The third proportional to 307,701 and 646,501.50 is: 1,358,345.24
Step by Step Solution
- Step 1: Write the proportion equation
307,701 : 646,501.50 = 646,501.50 : x - Step 2: Convert to fraction form
307,701/646,501.50 = 646,501.50/x - Step 3: Cross multiply
307,701x = 646,501.50 × 646,501.50 - Step 4: Simplify right side
307,701x = 417,964,189,502.25 - Step 5: Solve for x
x = 417,964,189,502.25/307,701 - Step 6: Final answer
x = 1,358,345.24
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.