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Finding the Third Proportional to 431,970.75 and 608,042.25

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Solution

The third proportional to 431,970.75 and 608,042.25 is: 855,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,970.75 : 608,042.25 = 608,042.25 : x
  2. Step 2: Convert to fraction form
    431,970.75/608,042.25 = 608,042.25/x
  3. Step 3: Cross multiply
    431,970.75x = 608,042.25 × 608,042.25
  4. Step 4: Simplify right side
    431,970.75x = 369,715,377,785.06
  5. Step 5: Solve for x
    x = 369,715,377,785.06/431,970.75
  6. Step 6: Final answer
    x = 855,880.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.