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Finding the Third Proportional to 269,532 and 417,283.50

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Solution

The third proportional to 269,532 and 417,283.50 is: 646,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,532 : 417,283.50 = 417,283.50 : x
  2. Step 2: Convert to fraction form
    269,532/417,283.50 = 417,283.50/x
  3. Step 3: Cross multiply
    269,532x = 417,283.50 × 417,283.50
  4. Step 4: Simplify right side
    269,532x = 174,125,519,372.25
  5. Step 5: Solve for x
    x = 174,125,519,372.25/269,532
  6. Step 6: Final answer
    x = 646,029.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.