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Finding the Third Proportional to 296,348 and 639,024

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Solution

The third proportional to 296,348 and 639,024 is: 1,377,946.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,348 : 639,024 = 639,024 : x
  2. Step 2: Convert to fraction form
    296,348/639,024 = 639,024/x
  3. Step 3: Cross multiply
    296,348x = 639,024 × 639,024
  4. Step 4: Simplify right side
    296,348x = 408,351,672,576
  5. Step 5: Solve for x
    x = 408,351,672,576/296,348
  6. Step 6: Final answer
    x = 1,377,946.44

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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.