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Finding the Third Proportional to 649,528.88 and 935,619.19

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Solution

The third proportional to 649,528.88 and 935,619.19 is: 1,347,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,528.88 : 935,619.19 = 935,619.19 : x
  2. Step 2: Convert to fraction form
    649,528.88/935,619.19 = 935,619.19/x
  3. Step 3: Cross multiply
    649,528.88x = 935,619.19 × 935,619.19
  4. Step 4: Simplify right side
    649,528.88x = 875,383,264,018.16
  5. Step 5: Solve for x
    x = 875,383,264,018.16/649,528.88
  6. Step 6: Final answer
    x = 1,347,720.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.