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Finding the Third Proportional to 200,426 and 417,438

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Solution

The third proportional to 200,426 and 417,438 is: 869,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,426 : 417,438 = 417,438 : x
  2. Step 2: Convert to fraction form
    200,426/417,438 = 417,438/x
  3. Step 3: Cross multiply
    200,426x = 417,438 × 417,438
  4. Step 4: Simplify right side
    200,426x = 174,254,483,844
  5. Step 5: Solve for x
    x = 174,254,483,844/200,426
  6. Step 6: Final answer
    x = 869,420.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.