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Finding the Third Proportional to 431,110.88 and 652,630.50

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Solution

The third proportional to 431,110.88 and 652,630.50 is: 987,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,110.88 : 652,630.50 = 652,630.50 : x
  2. Step 2: Convert to fraction form
    431,110.88/652,630.50 = 652,630.50/x
  3. Step 3: Cross multiply
    431,110.88x = 652,630.50 × 652,630.50
  4. Step 4: Simplify right side
    431,110.88x = 425,926,569,530.25
  5. Step 5: Solve for x
    x = 425,926,569,530.25/431,110.88
  6. Step 6: Final answer
    x = 987,974.54

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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.