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Finding the Third Proportional to 563,839.50 and 925,627.50

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Solution

The third proportional to 563,839.50 and 925,627.50 is: 1,519,557.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,839.50 : 925,627.50 = 925,627.50 : x
  2. Step 2: Convert to fraction form
    563,839.50/925,627.50 = 925,627.50/x
  3. Step 3: Cross multiply
    563,839.50x = 925,627.50 × 925,627.50
  4. Step 4: Simplify right side
    563,839.50x = 856,786,268,756.25
  5. Step 5: Solve for x
    x = 856,786,268,756.25/563,839.50
  6. Step 6: Final answer
    x = 1,519,557.02

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.