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Finding the Third Proportional to 600,264 and 915,642

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Solution

The third proportional to 600,264 and 915,642 is: 1,396,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,264 : 915,642 = 915,642 : x
  2. Step 2: Convert to fraction form
    600,264/915,642 = 915,642/x
  3. Step 3: Cross multiply
    600,264x = 915,642 × 915,642
  4. Step 4: Simplify right side
    600,264x = 838,400,272,164
  5. Step 5: Solve for x
    x = 838,400,272,164/600,264
  6. Step 6: Final answer
    x = 1,396,719.23

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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.