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Finding the Third Proportional to 472,803 and 709,692

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Solution

The third proportional to 472,803 and 709,692 is: 1,065,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,803 : 709,692 = 709,692 : x
  2. Step 2: Convert to fraction form
    472,803/709,692 = 709,692/x
  3. Step 3: Cross multiply
    472,803x = 709,692 × 709,692
  4. Step 4: Simplify right side
    472,803x = 503,662,734,864
  5. Step 5: Solve for x
    x = 503,662,734,864/472,803
  6. Step 6: Final answer
    x = 1,065,269.75

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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.