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Finding the Third Proportional to 509,320 and 775,052

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Solution

The third proportional to 509,320 and 775,052 is: 1,179,426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,320 : 775,052 = 775,052 : x
  2. Step 2: Convert to fraction form
    509,320/775,052 = 775,052/x
  3. Step 3: Cross multiply
    509,320x = 775,052 × 775,052
  4. Step 4: Simplify right side
    509,320x = 600,705,602,704
  5. Step 5: Solve for x
    x = 600,705,602,704/509,320
  6. Step 6: Final answer
    x = 1,179,426.69

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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.