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Finding the Third Proportional to 401,526 and 535,302

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Solution

The third proportional to 401,526 and 535,302 is: 713,648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,526 : 535,302 = 535,302 : x
  2. Step 2: Convert to fraction form
    401,526/535,302 = 535,302/x
  3. Step 3: Cross multiply
    401,526x = 535,302 × 535,302
  4. Step 4: Simplify right side
    401,526x = 286,548,231,204
  5. Step 5: Solve for x
    x = 286,548,231,204/401,526
  6. Step 6: Final answer
    x = 713,648.01

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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.