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Finding the Third Proportional to 600,268 and 915,648

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Solution

The third proportional to 600,268 and 915,648 is: 1,396,728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,268 : 915,648 = 915,648 : x
  2. Step 2: Convert to fraction form
    600,268/915,648 = 915,648/x
  3. Step 3: Cross multiply
    600,268x = 915,648 × 915,648
  4. Step 4: Simplify right side
    600,268x = 838,411,259,904
  5. Step 5: Solve for x
    x = 838,411,259,904/600,268
  6. Step 6: Final answer
    x = 1,396,728.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.