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Finding the Third Proportional to 501,560 and 768,084

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Solution

The third proportional to 501,560 and 768,084 is: 1,176,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,560 : 768,084 = 768,084 : x
  2. Step 2: Convert to fraction form
    501,560/768,084 = 768,084/x
  3. Step 3: Cross multiply
    501,560x = 768,084 × 768,084
  4. Step 4: Simplify right side
    501,560x = 589,953,031,056
  5. Step 5: Solve for x
    x = 589,953,031,056/501,560
  6. Step 6: Final answer
    x = 1,176,236.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.