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Finding the Third Proportional to 601,266 and 967,063.50

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Solution

The third proportional to 601,266 and 967,063.50 is: 1,555,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,266 : 967,063.50 = 967,063.50 : x
  2. Step 2: Convert to fraction form
    601,266/967,063.50 = 967,063.50/x
  3. Step 3: Cross multiply
    601,266x = 967,063.50 × 967,063.50
  4. Step 4: Simplify right side
    601,266x = 935,211,813,032.25
  5. Step 5: Solve for x
    x = 935,211,813,032.25/601,266
  6. Step 6: Final answer
    x = 1,555,404.45

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.