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Finding the Third Proportional to 477,023 and 668,539

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Solution

The third proportional to 477,023 and 668,539 is: 936,945.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,023 : 668,539 = 668,539 : x
  2. Step 2: Convert to fraction form
    477,023/668,539 = 668,539/x
  3. Step 3: Cross multiply
    477,023x = 668,539 × 668,539
  4. Step 4: Simplify right side
    477,023x = 446,944,394,521
  5. Step 5: Solve for x
    x = 446,944,394,521/477,023
  6. Step 6: Final answer
    x = 936,945.17

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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.