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Finding the Third Proportional to 297,320 and 619,264

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Solution

The third proportional to 297,320 and 619,264 is: 1,289,815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,320 : 619,264 = 619,264 : x
  2. Step 2: Convert to fraction form
    297,320/619,264 = 619,264/x
  3. Step 3: Cross multiply
    297,320x = 619,264 × 619,264
  4. Step 4: Simplify right side
    297,320x = 383,487,901,696
  5. Step 5: Solve for x
    x = 383,487,901,696/297,320
  6. Step 6: Final answer
    x = 1,289,815.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.