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Finding the Third Proportional to 401,563.50 and 535,358.25

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Solution

The third proportional to 401,563.50 and 535,358.25 is: 713,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,563.50 : 535,358.25 = 535,358.25 : x
  2. Step 2: Convert to fraction form
    401,563.50/535,358.25 = 535,358.25/x
  3. Step 3: Cross multiply
    401,563.50x = 535,358.25 × 535,358.25
  4. Step 4: Simplify right side
    401,563.50x = 286,608,455,843.06
  5. Step 5: Solve for x
    x = 286,608,455,843.06/401,563.50
  6. Step 6: Final answer
    x = 713,731.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.