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Finding the Third Proportional to 200,448 and 427,584

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Solution

The third proportional to 200,448 and 427,584 is: 912,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,448 : 427,584 = 427,584 : x
  2. Step 2: Convert to fraction form
    200,448/427,584 = 427,584/x
  3. Step 3: Cross multiply
    200,448x = 427,584 × 427,584
  4. Step 4: Simplify right side
    200,448x = 182,828,077,056
  5. Step 5: Solve for x
    x = 182,828,077,056/200,448
  6. Step 6: Final answer
    x = 912,097.29

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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.