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Finding the Third Proportional to 311,640 and 662,160

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Solution

The third proportional to 311,640 and 662,160 is: 1,406,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,640 : 662,160 = 662,160 : x
  2. Step 2: Convert to fraction form
    311,640/662,160 = 662,160/x
  3. Step 3: Cross multiply
    311,640x = 662,160 × 662,160
  4. Step 4: Simplify right side
    311,640x = 438,455,865,600
  5. Step 5: Solve for x
    x = 438,455,865,600/311,640
  6. Step 6: Final answer
    x = 1,406,930.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.