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Finding the Third Proportional to 605,748.38 and 937,828.13

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Solution

The third proportional to 605,748.38 and 937,828.13 is: 1,451,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,748.38 : 937,828.13 = 937,828.13 : x
  2. Step 2: Convert to fraction form
    605,748.38/937,828.13 = 937,828.13/x
  3. Step 3: Cross multiply
    605,748.38x = 937,828.13 × 937,828.13
  4. Step 4: Simplify right side
    605,748.38x = 879,521,592,041.02
  5. Step 5: Solve for x
    x = 879,521,592,041.02/605,748.38
  6. Step 6: Final answer
    x = 1,451,958.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.