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Finding the Third Proportional to 306,747 and 446,715

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Solution

The third proportional to 306,747 and 446,715 is: 650,550.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,747 : 446,715 = 446,715 : x
  2. Step 2: Convert to fraction form
    306,747/446,715 = 446,715/x
  3. Step 3: Cross multiply
    306,747x = 446,715 × 446,715
  4. Step 4: Simplify right side
    306,747x = 199,554,291,225
  5. Step 5: Solve for x
    x = 199,554,291,225/306,747
  6. Step 6: Final answer
    x = 650,550.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.