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Finding the Third Proportional to 477,019.13 and 668,533.50

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Solution

The third proportional to 477,019.13 and 668,533.50 is: 936,937.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,019.13 : 668,533.50 = 668,533.50 : x
  2. Step 2: Convert to fraction form
    477,019.13/668,533.50 = 668,533.50/x
  3. Step 3: Cross multiply
    477,019.13x = 668,533.50 × 668,533.50
  4. Step 4: Simplify right side
    477,019.13x = 446,937,040,622.25
  5. Step 5: Solve for x
    x = 446,937,040,622.25/477,019.13
  6. Step 6: Final answer
    x = 936,937.36

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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.