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Finding the Third Proportional to 413,680 and 893,376

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Solution

The third proportional to 413,680 and 893,376 is: 1,929,318.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,680 : 893,376 = 893,376 : x
  2. Step 2: Convert to fraction form
    413,680/893,376 = 893,376/x
  3. Step 3: Cross multiply
    413,680x = 893,376 × 893,376
  4. Step 4: Simplify right side
    413,680x = 798,120,677,376
  5. Step 5: Solve for x
    x = 798,120,677,376/413,680
  6. Step 6: Final answer
    x = 1,929,318.98

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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.