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Finding the Third Proportional to 585,500 and 1,259,768

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Solution

The third proportional to 585,500 and 1,259,768 is: 2,710,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,500 : 1,259,768 = 1,259,768 : x
  2. Step 2: Convert to fraction form
    585,500/1,259,768 = 1,259,768/x
  3. Step 3: Cross multiply
    585,500x = 1,259,768 × 1,259,768
  4. Step 4: Simplify right side
    585,500x = 1,587,015,413,824
  5. Step 5: Solve for x
    x = 1,587,015,413,824/585,500
  6. Step 6: Final answer
    x = 2,710,530.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.