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Finding the Third Proportional to 622,301.70 and 961,089.05

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Solution

The third proportional to 622,301.70 and 961,089.05 is: 1,484,315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,301.70 : 961,089.05 = 961,089.05 : x
  2. Step 2: Convert to fraction form
    622,301.70/961,089.05 = 961,089.05/x
  3. Step 3: Cross multiply
    622,301.70x = 961,089.05 × 961,089.05
  4. Step 4: Simplify right side
    622,301.70x = 923,692,156,023.10
  5. Step 5: Solve for x
    x = 923,692,156,023.10/622,301.70
  6. Step 6: Final answer
    x = 1,484,315.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.