Finding the Third Proportional to 470,316 and 709,714
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Solution
The third proportional to 470,316 and 709,714 is: 1,070,969.22
Step by Step Solution
- Step 1: Write the proportion equation
470,316 : 709,714 = 709,714 : x - Step 2: Convert to fraction form
470,316/709,714 = 709,714/x - Step 3: Cross multiply
470,316x = 709,714 × 709,714 - Step 4: Simplify right side
470,316x = 503,693,961,796 - Step 5: Solve for x
x = 503,693,961,796/470,316 - Step 6: Final answer
x = 1,070,969.22
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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.