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Finding the Third Proportional to 483,072 and 709,836

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Solution

The third proportional to 483,072 and 709,836 is: 1,043,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,072 : 709,836 = 709,836 : x
  2. Step 2: Convert to fraction form
    483,072/709,836 = 709,836/x
  3. Step 3: Cross multiply
    483,072x = 709,836 × 709,836
  4. Step 4: Simplify right side
    483,072x = 503,867,146,896
  5. Step 5: Solve for x
    x = 503,867,146,896/483,072
  6. Step 6: Final answer
    x = 1,043,047.72

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Why These Related Problems?

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