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Finding the Third Proportional to 605,748.38 and 937,829.25

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Solution

The third proportional to 605,748.38 and 937,829.25 is: 1,451,962.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,748.38 : 937,829.25 = 937,829.25 : x
  2. Step 2: Convert to fraction form
    605,748.38/937,829.25 = 937,829.25/x
  3. Step 3: Cross multiply
    605,748.38x = 937,829.25 × 937,829.25
  4. Step 4: Simplify right side
    605,748.38x = 879,523,702,155.56
  5. Step 5: Solve for x
    x = 879,523,702,155.56/605,748.38
  6. Step 6: Final answer
    x = 1,451,962.13

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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.