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Finding the Third Proportional to 333,786 and 739,641

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Solution

The third proportional to 333,786 and 739,641 is: 1,638,980.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,786 : 739,641 = 739,641 : x
  2. Step 2: Convert to fraction form
    333,786/739,641 = 739,641/x
  3. Step 3: Cross multiply
    333,786x = 739,641 × 739,641
  4. Step 4: Simplify right side
    333,786x = 547,068,808,881
  5. Step 5: Solve for x
    x = 547,068,808,881/333,786
  6. Step 6: Final answer
    x = 1,638,980.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.