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Finding the Third Proportional to 504,538 and 749,612

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Solution

The third proportional to 504,538 and 749,612 is: 1,113,728.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,538 : 749,612 = 749,612 : x
  2. Step 2: Convert to fraction form
    504,538/749,612 = 749,612/x
  3. Step 3: Cross multiply
    504,538x = 749,612 × 749,612
  4. Step 4: Simplify right side
    504,538x = 561,918,150,544
  5. Step 5: Solve for x
    x = 561,918,150,544/504,538
  6. Step 6: Final answer
    x = 1,113,728.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.