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Finding the Third Proportional to 331,348 and 715,570

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Solution

The third proportional to 331,348 and 715,570 is: 1,545,325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,348 : 715,570 = 715,570 : x
  2. Step 2: Convert to fraction form
    331,348/715,570 = 715,570/x
  3. Step 3: Cross multiply
    331,348x = 715,570 × 715,570
  4. Step 4: Simplify right side
    331,348x = 512,040,424,900
  5. Step 5: Solve for x
    x = 512,040,424,900/331,348
  6. Step 6: Final answer
    x = 1,545,325.23

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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.