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Finding the Third Proportional to 346,831.75 and 756,691.25

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Solution

The third proportional to 346,831.75 and 756,691.25 is: 1,650,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,831.75 : 756,691.25 = 756,691.25 : x
  2. Step 2: Convert to fraction form
    346,831.75/756,691.25 = 756,691.25/x
  3. Step 3: Cross multiply
    346,831.75x = 756,691.25 × 756,691.25
  4. Step 4: Simplify right side
    346,831.75x = 572,581,647,826.56
  5. Step 5: Solve for x
    x = 572,581,647,826.56/346,831.75
  6. Step 6: Final answer
    x = 1,650,891.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.