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Finding the Third Proportional to 566,953.50 and 816,895.50

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Solution

The third proportional to 566,953.50 and 816,895.50 is: 1,177,024.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,953.50 : 816,895.50 = 816,895.50 : x
  2. Step 2: Convert to fraction form
    566,953.50/816,895.50 = 816,895.50/x
  3. Step 3: Cross multiply
    566,953.50x = 816,895.50 × 816,895.50
  4. Step 4: Simplify right side
    566,953.50x = 667,318,257,920.25
  5. Step 5: Solve for x
    x = 667,318,257,920.25/566,953.50
  6. Step 6: Final answer
    x = 1,177,024.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.