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Finding the Third Proportional to 446,820.50 and 972,265.50

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Solution

The third proportional to 446,820.50 and 972,265.50 is: 2,115,615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,820.50 : 972,265.50 = 972,265.50 : x
  2. Step 2: Convert to fraction form
    446,820.50/972,265.50 = 972,265.50/x
  3. Step 3: Cross multiply
    446,820.50x = 972,265.50 × 972,265.50
  4. Step 4: Simplify right side
    446,820.50x = 945,300,202,490.25
  5. Step 5: Solve for x
    x = 945,300,202,490.25/446,820.50
  6. Step 6: Final answer
    x = 2,115,615.11

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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.