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Finding the Third Proportional to 301,887 and 444,082.50

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Solution

The third proportional to 301,887 and 444,082.50 is: 653,255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,887 : 444,082.50 = 444,082.50 : x
  2. Step 2: Convert to fraction form
    301,887/444,082.50 = 444,082.50/x
  3. Step 3: Cross multiply
    301,887x = 444,082.50 × 444,082.50
  4. Step 4: Simplify right side
    301,887x = 197,209,266,806.25
  5. Step 5: Solve for x
    x = 197,209,266,806.25/301,887
  6. Step 6: Final answer
    x = 653,255.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.