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Finding the Third Proportional to 504,720 and 775,788

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Solution

The third proportional to 504,720 and 775,788 is: 1,192,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,720 : 775,788 = 775,788 : x
  2. Step 2: Convert to fraction form
    504,720/775,788 = 775,788/x
  3. Step 3: Cross multiply
    504,720x = 775,788 × 775,788
  4. Step 4: Simplify right side
    504,720x = 601,847,020,944
  5. Step 5: Solve for x
    x = 601,847,020,944/504,720
  6. Step 6: Final answer
    x = 1,192,437.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.