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Finding the Third Proportional to 191,784 and 425,488

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Solution

The third proportional to 191,784 and 425,488 is: 943,978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,784 : 425,488 = 425,488 : x
  2. Step 2: Convert to fraction form
    191,784/425,488 = 425,488/x
  3. Step 3: Cross multiply
    191,784x = 425,488 × 425,488
  4. Step 4: Simplify right side
    191,784x = 181,040,038,144
  5. Step 5: Solve for x
    x = 181,040,038,144/191,784
  6. Step 6: Final answer
    x = 943,978.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.