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Finding the Third Proportional to 401,560.25 and 535,341.38

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Solution

The third proportional to 401,560.25 and 535,341.38 is: 713,692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,560.25 : 535,341.38 = 535,341.38 : x
  2. Step 2: Convert to fraction form
    401,560.25/535,341.38 = 535,341.38/x
  3. Step 3: Cross multiply
    401,560.25x = 535,341.38 × 535,341.38
  4. Step 4: Simplify right side
    401,560.25x = 286,590,387,786.89
  5. Step 5: Solve for x
    x = 286,590,387,786.89/401,560.25
  6. Step 6: Final answer
    x = 713,692.12

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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.