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Finding the Third Proportional to 277,512 and 413,196

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Solution

The third proportional to 277,512 and 413,196 is: 615,220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,512 : 413,196 = 413,196 : x
  2. Step 2: Convert to fraction form
    277,512/413,196 = 413,196/x
  3. Step 3: Cross multiply
    277,512x = 413,196 × 413,196
  4. Step 4: Simplify right side
    277,512x = 170,730,934,416
  5. Step 5: Solve for x
    x = 170,730,934,416/277,512
  6. Step 6: Final answer
    x = 615,220.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.