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Finding the Third Proportional to 653,662.50 and 955,405.50

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Solution

The third proportional to 653,662.50 and 955,405.50 is: 1,396,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,662.50 : 955,405.50 = 955,405.50 : x
  2. Step 2: Convert to fraction form
    653,662.50/955,405.50 = 955,405.50/x
  3. Step 3: Cross multiply
    653,662.50x = 955,405.50 × 955,405.50
  4. Step 4: Simplify right side
    653,662.50x = 912,799,669,430.25
  5. Step 5: Solve for x
    x = 912,799,669,430.25/653,662.50
  6. Step 6: Final answer
    x = 1,396,438.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.