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Finding the Third Proportional to 408,704 and 607,222

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Solution

The third proportional to 408,704 and 607,222 is: 902,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,704 : 607,222 = 607,222 : x
  2. Step 2: Convert to fraction form
    408,704/607,222 = 607,222/x
  3. Step 3: Cross multiply
    408,704x = 607,222 × 607,222
  4. Step 4: Simplify right side
    408,704x = 368,718,557,284
  5. Step 5: Solve for x
    x = 368,718,557,284/408,704
  6. Step 6: Final answer
    x = 902,165.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.