Finding the Third Proportional to 219,748 and 470,600
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Solution
The third proportional to 219,748 and 470,600 is: 1,007,810.58
Step by Step Solution
- Step 1: Write the proportion equation
219,748 : 470,600 = 470,600 : x - Step 2: Convert to fraction form
219,748/470,600 = 470,600/x - Step 3: Cross multiply
219,748x = 470,600 × 470,600 - Step 4: Simplify right side
219,748x = 221,464,360,000 - Step 5: Solve for x
x = 221,464,360,000/219,748 - Step 6: Final answer
x = 1,007,810.58
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.