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Finding the Third Proportional to 199,548 and 433,541

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Solution

The third proportional to 199,548 and 433,541 is: 941,917.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,548 : 433,541 = 433,541 : x
  2. Step 2: Convert to fraction form
    199,548/433,541 = 433,541/x
  3. Step 3: Cross multiply
    199,548x = 433,541 × 433,541
  4. Step 4: Simplify right side
    199,548x = 187,957,798,681
  5. Step 5: Solve for x
    x = 187,957,798,681/199,548
  6. Step 6: Final answer
    x = 941,917.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.