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Finding the Third Proportional to 191,382 and 447,013.50

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Solution

The third proportional to 191,382 and 447,013.50 is: 1,044,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,382 : 447,013.50 = 447,013.50 : x
  2. Step 2: Convert to fraction form
    191,382/447,013.50 = 447,013.50/x
  3. Step 3: Cross multiply
    191,382x = 447,013.50 × 447,013.50
  4. Step 4: Simplify right side
    191,382x = 199,821,069,182.25
  5. Step 5: Solve for x
    x = 199,821,069,182.25/191,382
  6. Step 6: Final answer
    x = 1,044,095.42

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