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Finding the Third Proportional to 303,760 and 651,498

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Solution

The third proportional to 303,760 and 651,498 is: 1,397,319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,760 : 651,498 = 651,498 : x
  2. Step 2: Convert to fraction form
    303,760/651,498 = 651,498/x
  3. Step 3: Cross multiply
    303,760x = 651,498 × 651,498
  4. Step 4: Simplify right side
    303,760x = 424,449,644,004
  5. Step 5: Solve for x
    x = 424,449,644,004/303,760
  6. Step 6: Final answer
    x = 1,397,319.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.