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Finding the Third Proportional to 550,465.50 and 842,107.50

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Solution

The third proportional to 550,465.50 and 842,107.50 is: 1,288,264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,465.50 : 842,107.50 = 842,107.50 : x
  2. Step 2: Convert to fraction form
    550,465.50/842,107.50 = 842,107.50/x
  3. Step 3: Cross multiply
    550,465.50x = 842,107.50 × 842,107.50
  4. Step 4: Simplify right side
    550,465.50x = 709,145,041,556.25
  5. Step 5: Solve for x
    x = 709,145,041,556.25/550,465.50
  6. Step 6: Final answer
    x = 1,288,264.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.