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Finding the Third Proportional to 504,610 and 759,023

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Solution

The third proportional to 504,610 and 759,023 is: 1,141,705.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,610 : 759,023 = 759,023 : x
  2. Step 2: Convert to fraction form
    504,610/759,023 = 759,023/x
  3. Step 3: Cross multiply
    504,610x = 759,023 × 759,023
  4. Step 4: Simplify right side
    504,610x = 576,115,914,529
  5. Step 5: Solve for x
    x = 576,115,914,529/504,610
  6. Step 6: Final answer
    x = 1,141,705.31

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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.