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Finding the Third Proportional to 626,529.94 and 977,224.50

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Solution

The third proportional to 626,529.94 and 977,224.50 is: 1,524,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,529.94 : 977,224.50 = 977,224.50 : x
  2. Step 2: Convert to fraction form
    626,529.94/977,224.50 = 977,224.50/x
  3. Step 3: Cross multiply
    626,529.94x = 977,224.50 × 977,224.50
  4. Step 4: Simplify right side
    626,529.94x = 954,967,723,400.25
  5. Step 5: Solve for x
    x = 954,967,723,400.25/626,529.94
  6. Step 6: Final answer
    x = 1,524,217.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.