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Finding the Third Proportional to 301,032 and 653,886

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Solution

The third proportional to 301,032 and 653,886 is: 1,420,337.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,032 : 653,886 = 653,886 : x
  2. Step 2: Convert to fraction form
    301,032/653,886 = 653,886/x
  3. Step 3: Cross multiply
    301,032x = 653,886 × 653,886
  4. Step 4: Simplify right side
    301,032x = 427,566,900,996
  5. Step 5: Solve for x
    x = 427,566,900,996/301,032
  6. Step 6: Final answer
    x = 1,420,337.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.