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Finding the Third Proportional to 335,769 and 724,713

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Solution

The third proportional to 335,769 and 724,713 is: 1,564,197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,769 : 724,713 = 724,713 : x
  2. Step 2: Convert to fraction form
    335,769/724,713 = 724,713/x
  3. Step 3: Cross multiply
    335,769x = 724,713 × 724,713
  4. Step 4: Simplify right side
    335,769x = 525,208,932,369
  5. Step 5: Solve for x
    x = 525,208,932,369/335,769
  6. Step 6: Final answer
    x = 1,564,197.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.