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Finding the Third Proportional to 504,548 and 758,950

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Solution

The third proportional to 504,548 and 758,950 is: 1,141,625.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,548 : 758,950 = 758,950 : x
  2. Step 2: Convert to fraction form
    504,548/758,950 = 758,950/x
  3. Step 3: Cross multiply
    504,548x = 758,950 × 758,950
  4. Step 4: Simplify right side
    504,548x = 576,005,102,500
  5. Step 5: Solve for x
    x = 576,005,102,500/504,548
  6. Step 6: Final answer
    x = 1,141,625.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.