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Finding the Third Proportional to 191,520 and 447,347

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Solution

The third proportional to 191,520 and 447,347 is: 1,044,900.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,520 : 447,347 = 447,347 : x
  2. Step 2: Convert to fraction form
    191,520/447,347 = 447,347/x
  3. Step 3: Cross multiply
    191,520x = 447,347 × 447,347
  4. Step 4: Simplify right side
    191,520x = 200,119,338,409
  5. Step 5: Solve for x
    x = 200,119,338,409/191,520
  6. Step 6: Final answer
    x = 1,044,900.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.