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Finding the Third Proportional to 220,735.13 and 476,752.50

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Solution

The third proportional to 220,735.13 and 476,752.50 is: 1,029,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,735.13 : 476,752.50 = 476,752.50 : x
  2. Step 2: Convert to fraction form
    220,735.13/476,752.50 = 476,752.50/x
  3. Step 3: Cross multiply
    220,735.13x = 476,752.50 × 476,752.50
  4. Step 4: Simplify right side
    220,735.13x = 227,292,946,256.25
  5. Step 5: Solve for x
    x = 227,292,946,256.25/220,735.13
  6. Step 6: Final answer
    x = 1,029,709.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.