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Finding the Third Proportional to 353,122 and 784,703

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Solution

The third proportional to 353,122 and 784,703 is: 1,743,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,122 : 784,703 = 784,703 : x
  2. Step 2: Convert to fraction form
    353,122/784,703 = 784,703/x
  3. Step 3: Cross multiply
    353,122x = 784,703 × 784,703
  4. Step 4: Simplify right side
    353,122x = 615,758,798,209
  5. Step 5: Solve for x
    x = 615,758,798,209/353,122
  6. Step 6: Final answer
    x = 1,743,756.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.