Finding the Third Proportional to 470,588 and 710,270
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Solution
The third proportional to 470,588 and 710,270 is: 1,072,027.92
Step by Step Solution
- Step 1: Write the proportion equation
470,588 : 710,270 = 710,270 : x - Step 2: Convert to fraction form
470,588/710,270 = 710,270/x - Step 3: Cross multiply
470,588x = 710,270 × 710,270 - Step 4: Simplify right side
470,588x = 504,483,472,900 - Step 5: Solve for x
x = 504,483,472,900/470,588 - Step 6: Final answer
x = 1,072,027.92
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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.