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Finding the Third Proportional to 397,670 and 602,297

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Solution

The third proportional to 397,670 and 602,297 is: 912,217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,670 : 602,297 = 602,297 : x
  2. Step 2: Convert to fraction form
    397,670/602,297 = 602,297/x
  3. Step 3: Cross multiply
    397,670x = 602,297 × 602,297
  4. Step 4: Simplify right side
    397,670x = 362,761,676,209
  5. Step 5: Solve for x
    x = 362,761,676,209/397,670
  6. Step 6: Final answer
    x = 912,217.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.