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Finding the Third Proportional to 367,045 and 483,715

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Solution

The third proportional to 367,045 and 483,715 is: 637,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,045 : 483,715 = 483,715 : x
  2. Step 2: Convert to fraction form
    367,045/483,715 = 483,715/x
  3. Step 3: Cross multiply
    367,045x = 483,715 × 483,715
  4. Step 4: Simplify right side
    367,045x = 233,980,201,225
  5. Step 5: Solve for x
    x = 233,980,201,225/367,045
  6. Step 6: Final answer
    x = 637,470.07

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.