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Finding the Third Proportional to 292,380 and 640,599

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Solution

The third proportional to 292,380 and 640,599 is: 1,403,540.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,380 : 640,599 = 640,599 : x
  2. Step 2: Convert to fraction form
    292,380/640,599 = 640,599/x
  3. Step 3: Cross multiply
    292,380x = 640,599 × 640,599
  4. Step 4: Simplify right side
    292,380x = 410,367,078,801
  5. Step 5: Solve for x
    x = 410,367,078,801/292,380
  6. Step 6: Final answer
    x = 1,403,540.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.