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Finding the Third Proportional to 504,965 and 776,127

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Solution

The third proportional to 504,965 and 776,127 is: 1,192,900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,965 : 776,127 = 776,127 : x
  2. Step 2: Convert to fraction form
    504,965/776,127 = 776,127/x
  3. Step 3: Cross multiply
    504,965x = 776,127 × 776,127
  4. Step 4: Simplify right side
    504,965x = 602,373,120,129
  5. Step 5: Solve for x
    x = 602,373,120,129/504,965
  6. Step 6: Final answer
    x = 1,192,900.74

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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.