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Finding the Third Proportional to 353,104 and 724,810

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Solution

The third proportional to 353,104 and 724,810 is: 1,487,803.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,104 : 724,810 = 724,810 : x
  2. Step 2: Convert to fraction form
    353,104/724,810 = 724,810/x
  3. Step 3: Cross multiply
    353,104x = 724,810 × 724,810
  4. Step 4: Simplify right side
    353,104x = 525,349,536,100
  5. Step 5: Solve for x
    x = 525,349,536,100/353,104
  6. Step 6: Final answer
    x = 1,487,803.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.