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Finding the Third Proportional to 200,552 and 427,792

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Solution

The third proportional to 200,552 and 427,792 is: 912,511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,552 : 427,792 = 427,792 : x
  2. Step 2: Convert to fraction form
    200,552/427,792 = 427,792/x
  3. Step 3: Cross multiply
    200,552x = 427,792 × 427,792
  4. Step 4: Simplify right side
    200,552x = 183,005,995,264
  5. Step 5: Solve for x
    x = 183,005,995,264/200,552
  6. Step 6: Final answer
    x = 912,511.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.