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Finding the Third Proportional to 688,450.50 and 967,772.25

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Solution

The third proportional to 688,450.50 and 967,772.25 is: 1,360,421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,450.50 : 967,772.25 = 967,772.25 : x
  2. Step 2: Convert to fraction form
    688,450.50/967,772.25 = 967,772.25/x
  3. Step 3: Cross multiply
    688,450.50x = 967,772.25 × 967,772.25
  4. Step 4: Simplify right side
    688,450.50x = 936,583,127,870.06
  5. Step 5: Solve for x
    x = 936,583,127,870.06/688,450.50
  6. Step 6: Final answer
    x = 1,360,421.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.