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Finding the Third Proportional to 477,024 and 668,540

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Solution

The third proportional to 477,024 and 668,540 is: 936,946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,024 : 668,540 = 668,540 : x
  2. Step 2: Convert to fraction form
    477,024/668,540 = 668,540/x
  3. Step 3: Cross multiply
    477,024x = 668,540 × 668,540
  4. Step 4: Simplify right side
    477,024x = 446,945,731,600
  5. Step 5: Solve for x
    x = 446,945,731,600/477,024
  6. Step 6: Final answer
    x = 936,946.01

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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.