Finding the Third Proportional to 470,324 and 709,730
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Solution
The third proportional to 470,324 and 709,730 is: 1,070,999.30
Step by Step Solution
- Step 1: Write the proportion equation
470,324 : 709,730 = 709,730 : x - Step 2: Convert to fraction form
470,324/709,730 = 709,730/x - Step 3: Cross multiply
470,324x = 709,730 × 709,730 - Step 4: Simplify right side
470,324x = 503,716,672,900 - Step 5: Solve for x
x = 503,716,672,900/470,324 - Step 6: Final answer
x = 1,070,999.30
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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.