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Finding the Third Proportional to 226,030.50 and 501,624

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Solution

The third proportional to 226,030.50 and 501,624 is: 1,113,241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,030.50 : 501,624 = 501,624 : x
  2. Step 2: Convert to fraction form
    226,030.50/501,624 = 501,624/x
  3. Step 3: Cross multiply
    226,030.50x = 501,624 × 501,624
  4. Step 4: Simplify right side
    226,030.50x = 251,626,637,376
  5. Step 5: Solve for x
    x = 251,626,637,376/226,030.50
  6. Step 6: Final answer
    x = 1,113,241.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.