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Finding the Third Proportional to 472,763 and 709,628

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Solution

The third proportional to 472,763 and 709,628 is: 1,065,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,763 : 709,628 = 709,628 : x
  2. Step 2: Convert to fraction form
    472,763/709,628 = 709,628/x
  3. Step 3: Cross multiply
    472,763x = 709,628 × 709,628
  4. Step 4: Simplify right side
    472,763x = 503,571,898,384
  5. Step 5: Solve for x
    x = 503,571,898,384/472,763
  6. Step 6: Final answer
    x = 1,065,167.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.