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Finding the Third Proportional to 289,501 and 637,899

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Solution

The third proportional to 289,501 and 637,899 is: 1,405,574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,501 : 637,899 = 637,899 : x
  2. Step 2: Convert to fraction form
    289,501/637,899 = 637,899/x
  3. Step 3: Cross multiply
    289,501x = 637,899 × 637,899
  4. Step 4: Simplify right side
    289,501x = 406,915,134,201
  5. Step 5: Solve for x
    x = 406,915,134,201/289,501
  6. Step 6: Final answer
    x = 1,405,574.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.