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Finding the Third Proportional to 305,724 and 625,053

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Solution

The third proportional to 305,724 and 625,053 is: 1,277,921.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,724 : 625,053 = 625,053 : x
  2. Step 2: Convert to fraction form
    305,724/625,053 = 625,053/x
  3. Step 3: Cross multiply
    305,724x = 625,053 × 625,053
  4. Step 4: Simplify right side
    305,724x = 390,691,252,809
  5. Step 5: Solve for x
    x = 390,691,252,809/305,724
  6. Step 6: Final answer
    x = 1,277,921.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.