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Finding the Third Proportional to 688,294.13 and 967,546.69

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Solution

The third proportional to 688,294.13 and 967,546.69 is: 1,360,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,294.13 : 967,546.69 = 967,546.69 : x
  2. Step 2: Convert to fraction form
    688,294.13/967,546.69 = 967,546.69/x
  3. Step 3: Cross multiply
    688,294.13x = 967,546.69 × 967,546.69
  4. Step 4: Simplify right side
    688,294.13x = 936,146,592,492.22
  5. Step 5: Solve for x
    x = 936,146,592,492.22/688,294.13
  6. Step 6: Final answer
    x = 1,360,096.74

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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.