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Finding the Third Proportional to 420,408 and 652,763.81

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Solution

The third proportional to 420,408 and 652,763.81 is: 1,013,540.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,408 : 652,763.81 = 652,763.81 : x
  2. Step 2: Convert to fraction form
    420,408/652,763.81 = 652,763.81/x
  3. Step 3: Cross multiply
    420,408x = 652,763.81 × 652,763.81
  4. Step 4: Simplify right side
    420,408x = 426,100,594,909.54
  5. Step 5: Solve for x
    x = 426,100,594,909.54/420,408
  6. Step 6: Final answer
    x = 1,013,540.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.