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Finding the Third Proportional to 589,000.13 and 945,003.75

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Solution

The third proportional to 589,000.13 and 945,003.75 is: 1,516,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,000.13 : 945,003.75 = 945,003.75 : x
  2. Step 2: Convert to fraction form
    589,000.13/945,003.75 = 945,003.75/x
  3. Step 3: Cross multiply
    589,000.13x = 945,003.75 × 945,003.75
  4. Step 4: Simplify right side
    589,000.13x = 893,032,087,514.06
  5. Step 5: Solve for x
    x = 893,032,087,514.06/589,000.13
  6. Step 6: Final answer
    x = 1,516,183.19

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.