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Finding the Third Proportional to 436,954.50 and 934,627.50

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Solution

The third proportional to 436,954.50 and 934,627.50 is: 1,999,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,954.50 : 934,627.50 = 934,627.50 : x
  2. Step 2: Convert to fraction form
    436,954.50/934,627.50 = 934,627.50/x
  3. Step 3: Cross multiply
    436,954.50x = 934,627.50 × 934,627.50
  4. Step 4: Simplify right side
    436,954.50x = 873,528,563,756.25
  5. Step 5: Solve for x
    x = 873,528,563,756.25/436,954.50
  6. Step 6: Final answer
    x = 1,999,129.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.