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Finding the Third Proportional to 387,085 and 616,340

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Solution

The third proportional to 387,085 and 616,340 is: 981,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,085 : 616,340 = 616,340 : x
  2. Step 2: Convert to fraction form
    387,085/616,340 = 616,340/x
  3. Step 3: Cross multiply
    387,085x = 616,340 × 616,340
  4. Step 4: Simplify right side
    387,085x = 379,874,995,600
  5. Step 5: Solve for x
    x = 379,874,995,600/387,085
  6. Step 6: Final answer
    x = 981,373.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.