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Finding the Third Proportional to 504,733 and 775,807

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Solution

The third proportional to 504,733 and 775,807 is: 1,192,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,733 : 775,807 = 775,807 : x
  2. Step 2: Convert to fraction form
    504,733/775,807 = 775,807/x
  3. Step 3: Cross multiply
    504,733x = 775,807 × 775,807
  4. Step 4: Simplify right side
    504,733x = 601,876,501,249
  5. Step 5: Solve for x
    x = 601,876,501,249/504,733
  6. Step 6: Final answer
    x = 1,192,465.13

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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.