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Finding the Third Proportional to 509,322 and 775,048.50

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Solution

The third proportional to 509,322 and 775,048.50 is: 1,179,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,322 : 775,048.50 = 775,048.50 : x
  2. Step 2: Convert to fraction form
    509,322/775,048.50 = 775,048.50/x
  3. Step 3: Cross multiply
    509,322x = 775,048.50 × 775,048.50
  4. Step 4: Simplify right side
    509,322x = 600,700,177,352.25
  5. Step 5: Solve for x
    x = 600,700,177,352.25/509,322
  6. Step 6: Final answer
    x = 1,179,411.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.