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Finding the Third Proportional to 519,106 and 785,576

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Solution

The third proportional to 519,106 and 785,576 is: 1,188,831.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,106 : 785,576 = 785,576 : x
  2. Step 2: Convert to fraction form
    519,106/785,576 = 785,576/x
  3. Step 3: Cross multiply
    519,106x = 785,576 × 785,576
  4. Step 4: Simplify right side
    519,106x = 617,129,651,776
  5. Step 5: Solve for x
    x = 617,129,651,776/519,106
  6. Step 6: Final answer
    x = 1,188,831.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.