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Finding the Third Proportional to 446,715 and 929,515.50

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Solution

The third proportional to 446,715 and 929,515.50 is: 1,934,116.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,715 : 929,515.50 = 929,515.50 : x
  2. Step 2: Convert to fraction form
    446,715/929,515.50 = 929,515.50/x
  3. Step 3: Cross multiply
    446,715x = 929,515.50 × 929,515.50
  4. Step 4: Simplify right side
    446,715x = 863,999,064,740.25
  5. Step 5: Solve for x
    x = 863,999,064,740.25/446,715
  6. Step 6: Final answer
    x = 1,934,116.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.