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Finding the Third Proportional to 632,637 and 967,747.50

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Solution

The third proportional to 632,637 and 967,747.50 is: 1,480,367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,637 : 967,747.50 = 967,747.50 : x
  2. Step 2: Convert to fraction form
    632,637/967,747.50 = 967,747.50/x
  3. Step 3: Cross multiply
    632,637x = 967,747.50 × 967,747.50
  4. Step 4: Simplify right side
    632,637x = 936,535,223,756.25
  5. Step 5: Solve for x
    x = 936,535,223,756.25/632,637
  6. Step 6: Final answer
    x = 1,480,367.45

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.