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Finding the Third Proportional to 237,776 and 483,854

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Solution

The third proportional to 237,776 and 483,854 is: 984,601.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,776 : 483,854 = 483,854 : x
  2. Step 2: Convert to fraction form
    237,776/483,854 = 483,854/x
  3. Step 3: Cross multiply
    237,776x = 483,854 × 483,854
  4. Step 4: Simplify right side
    237,776x = 234,114,693,316
  5. Step 5: Solve for x
    x = 234,114,693,316/237,776
  6. Step 6: Final answer
    x = 984,601.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.