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Finding the Third Proportional to 302,598 and 401,404.50

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Solution

The third proportional to 302,598 and 401,404.50 is: 532,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,598 : 401,404.50 = 401,404.50 : x
  2. Step 2: Convert to fraction form
    302,598/401,404.50 = 401,404.50/x
  3. Step 3: Cross multiply
    302,598x = 401,404.50 × 401,404.50
  4. Step 4: Simplify right side
    302,598x = 161,125,572,620.25
  5. Step 5: Solve for x
    x = 161,125,572,620.25/302,598
  6. Step 6: Final answer
    x = 532,474.02

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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.