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Finding the Third Proportional to 431,112.75 and 652,632.75

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Solution

The third proportional to 431,112.75 and 652,632.75 is: 987,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,112.75 : 652,632.75 = 652,632.75 : x
  2. Step 2: Convert to fraction form
    431,112.75/652,632.75 = 652,632.75/x
  3. Step 3: Cross multiply
    431,112.75x = 652,632.75 × 652,632.75
  4. Step 4: Simplify right side
    431,112.75x = 425,929,506,372.56
  5. Step 5: Solve for x
    x = 425,929,506,372.56/431,112.75
  6. Step 6: Final answer
    x = 987,977.06

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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.