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Finding the Third Proportional to 408,200 and 895,312

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Solution

The third proportional to 408,200 and 895,312 is: 1,963,703.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,200 : 895,312 = 895,312 : x
  2. Step 2: Convert to fraction form
    408,200/895,312 = 895,312/x
  3. Step 3: Cross multiply
    408,200x = 895,312 × 895,312
  4. Step 4: Simplify right side
    408,200x = 801,583,577,344
  5. Step 5: Solve for x
    x = 801,583,577,344/408,200
  6. Step 6: Final answer
    x = 1,963,703.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.