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Finding the Third Proportional to 477,361 and 669,169.50

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Solution

The third proportional to 477,361 and 669,169.50 is: 938,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,361 : 669,169.50 = 669,169.50 : x
  2. Step 2: Convert to fraction form
    477,361/669,169.50 = 669,169.50/x
  3. Step 3: Cross multiply
    477,361x = 669,169.50 × 669,169.50
  4. Step 4: Simplify right side
    477,361x = 447,787,819,730.25
  5. Step 5: Solve for x
    x = 447,787,819,730.25/477,361
  6. Step 6: Final answer
    x = 938,048.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.