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Finding the Third Proportional to 477,360 and 669,168

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Solution

The third proportional to 477,360 and 669,168 is: 938,046.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,360 : 669,168 = 669,168 : x
  2. Step 2: Convert to fraction form
    477,360/669,168 = 669,168/x
  3. Step 3: Cross multiply
    477,360x = 669,168 × 669,168
  4. Step 4: Simplify right side
    477,360x = 447,785,812,224
  5. Step 5: Solve for x
    x = 447,785,812,224/477,360
  6. Step 6: Final answer
    x = 938,046.36

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