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Finding the Third Proportional to 476,713 and 699,485.50

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Solution

The third proportional to 476,713 and 699,485.50 is: 1,026,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,713 : 699,485.50 = 699,485.50 : x
  2. Step 2: Convert to fraction form
    476,713/699,485.50 = 699,485.50/x
  3. Step 3: Cross multiply
    476,713x = 699,485.50 × 699,485.50
  4. Step 4: Simplify right side
    476,713x = 489,279,964,710.25
  5. Step 5: Solve for x
    x = 489,279,964,710.25/476,713
  6. Step 6: Final answer
    x = 1,026,361.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.