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Finding the Third Proportional to 333,501 and 731,820

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Solution

The third proportional to 333,501 and 731,820 is: 1,605,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,501 : 731,820 = 731,820 : x
  2. Step 2: Convert to fraction form
    333,501/731,820 = 731,820/x
  3. Step 3: Cross multiply
    333,501x = 731,820 × 731,820
  4. Step 4: Simplify right side
    333,501x = 535,560,512,400
  5. Step 5: Solve for x
    x = 535,560,512,400/333,501
  6. Step 6: Final answer
    x = 1,605,873.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.