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Finding the Third Proportional to 303,834 and 654,769

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Solution

The third proportional to 303,834 and 654,769 is: 1,411,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,834 : 654,769 = 654,769 : x
  2. Step 2: Convert to fraction form
    303,834/654,769 = 654,769/x
  3. Step 3: Cross multiply
    303,834x = 654,769 × 654,769
  4. Step 4: Simplify right side
    303,834x = 428,722,443,361
  5. Step 5: Solve for x
    x = 428,722,443,361/303,834
  6. Step 6: Final answer
    x = 1,411,041.70

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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.