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Finding the Third Proportional to 272,320 and 588,368

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Solution

The third proportional to 272,320 and 588,368 is: 1,271,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,320 : 588,368 = 588,368 : x
  2. Step 2: Convert to fraction form
    272,320/588,368 = 588,368/x
  3. Step 3: Cross multiply
    272,320x = 588,368 × 588,368
  4. Step 4: Simplify right side
    272,320x = 346,176,903,424
  5. Step 5: Solve for x
    x = 346,176,903,424/272,320
  6. Step 6: Final answer
    x = 1,271,213.66

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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.