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Finding the Third Proportional to 301,430 and 633,883

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Solution

The third proportional to 301,430 and 633,883 is: 1,333,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,430 : 633,883 = 633,883 : x
  2. Step 2: Convert to fraction form
    301,430/633,883 = 633,883/x
  3. Step 3: Cross multiply
    301,430x = 633,883 × 633,883
  4. Step 4: Simplify right side
    301,430x = 401,807,657,689
  5. Step 5: Solve for x
    x = 401,807,657,689/301,430
  6. Step 6: Final answer
    x = 1,333,004.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.