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Finding the Third Proportional to 436,712.50 and 925,913

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Solution

The third proportional to 436,712.50 and 925,913 is: 1,963,110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,712.50 : 925,913 = 925,913 : x
  2. Step 2: Convert to fraction form
    436,712.50/925,913 = 925,913/x
  3. Step 3: Cross multiply
    436,712.50x = 925,913 × 925,913
  4. Step 4: Simplify right side
    436,712.50x = 857,314,883,569
  5. Step 5: Solve for x
    x = 857,314,883,569/436,712.50
  6. Step 6: Final answer
    x = 1,963,110.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.