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Finding the Third Proportional to 504,518 and 758,895

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Solution

The third proportional to 504,518 and 758,895 is: 1,141,528.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,518 : 758,895 = 758,895 : x
  2. Step 2: Convert to fraction form
    504,518/758,895 = 758,895/x
  3. Step 3: Cross multiply
    504,518x = 758,895 × 758,895
  4. Step 4: Simplify right side
    504,518x = 575,921,621,025
  5. Step 5: Solve for x
    x = 575,921,621,025/504,518
  6. Step 6: Final answer
    x = 1,141,528.39

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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.