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Finding the Third Proportional to 200,924 and 442,735

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Solution

The third proportional to 200,924 and 442,735 is: 975,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,924 : 442,735 = 442,735 : x
  2. Step 2: Convert to fraction form
    200,924/442,735 = 442,735/x
  3. Step 3: Cross multiply
    200,924x = 442,735 × 442,735
  4. Step 4: Simplify right side
    200,924x = 196,014,280,225
  5. Step 5: Solve for x
    x = 196,014,280,225/200,924
  6. Step 6: Final answer
    x = 975,564.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.