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Finding the Third Proportional to 452,072 and 619,882

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Solution

The third proportional to 452,072 and 619,882 is: 849,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,072 : 619,882 = 619,882 : x
  2. Step 2: Convert to fraction form
    452,072/619,882 = 619,882/x
  3. Step 3: Cross multiply
    452,072x = 619,882 × 619,882
  4. Step 4: Simplify right side
    452,072x = 384,253,693,924
  5. Step 5: Solve for x
    x = 384,253,693,924/452,072
  6. Step 6: Final answer
    x = 849,983.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.