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Finding the Third Proportional to 262,081.50 and 392,716.50

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Solution

The third proportional to 262,081.50 and 392,716.50 is: 588,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,081.50 : 392,716.50 = 392,716.50 : x
  2. Step 2: Convert to fraction form
    262,081.50/392,716.50 = 392,716.50/x
  3. Step 3: Cross multiply
    262,081.50x = 392,716.50 × 392,716.50
  4. Step 4: Simplify right side
    262,081.50x = 154,226,249,372.25
  5. Step 5: Solve for x
    x = 154,226,249,372.25/262,081.50
  6. Step 6: Final answer
    x = 588,466.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.