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Finding the Third Proportional to 431,105.63 and 652,622.06

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Solution

The third proportional to 431,105.63 and 652,622.06 is: 987,961.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,105.63 : 652,622.06 = 652,622.06 : x
  2. Step 2: Convert to fraction form
    431,105.63/652,622.06 = 652,622.06/x
  3. Step 3: Cross multiply
    431,105.63x = 652,622.06 × 652,622.06
  4. Step 4: Simplify right side
    431,105.63x = 425,915,556,461.75
  5. Step 5: Solve for x
    x = 425,915,556,461.75/431,105.63
  6. Step 6: Final answer
    x = 987,961.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.