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Finding the Third Proportional to 200,552 and 428,752

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Solution

The third proportional to 200,552 and 428,752 is: 916,611.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,552 : 428,752 = 428,752 : x
  2. Step 2: Convert to fraction form
    200,552/428,752 = 428,752/x
  3. Step 3: Cross multiply
    200,552x = 428,752 × 428,752
  4. Step 4: Simplify right side
    200,552x = 183,828,277,504
  5. Step 5: Solve for x
    x = 183,828,277,504/200,552
  6. Step 6: Final answer
    x = 916,611.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.