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Finding the Third Proportional to 286,114.50 and 420,408

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Solution

The third proportional to 286,114.50 and 420,408 is: 617,734.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,114.50 : 420,408 = 420,408 : x
  2. Step 2: Convert to fraction form
    286,114.50/420,408 = 420,408/x
  3. Step 3: Cross multiply
    286,114.50x = 420,408 × 420,408
  4. Step 4: Simplify right side
    286,114.50x = 176,742,886,464
  5. Step 5: Solve for x
    x = 176,742,886,464/286,114.50
  6. Step 6: Final answer
    x = 617,734.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.