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Finding the Third Proportional to 503,084 and 761,104

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Solution

The third proportional to 503,084 and 761,104 is: 1,151,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,084 : 761,104 = 761,104 : x
  2. Step 2: Convert to fraction form
    503,084/761,104 = 761,104/x
  3. Step 3: Cross multiply
    503,084x = 761,104 × 761,104
  4. Step 4: Simplify right side
    503,084x = 579,279,298,816
  5. Step 5: Solve for x
    x = 579,279,298,816/503,084
  6. Step 6: Final answer
    x = 1,151,456.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.