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Finding the Third Proportional to 304,457 and 653,803

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Solution

The third proportional to 304,457 and 653,803 is: 1,404,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,457 : 653,803 = 653,803 : x
  2. Step 2: Convert to fraction form
    304,457/653,803 = 653,803/x
  3. Step 3: Cross multiply
    304,457x = 653,803 × 653,803
  4. Step 4: Simplify right side
    304,457x = 427,458,362,809
  5. Step 5: Solve for x
    x = 427,458,362,809/304,457
  6. Step 6: Final answer
    x = 1,404,002.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.