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Finding the Third Proportional to 316,038 and 693,900

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Solution

The third proportional to 316,038 and 693,900 is: 1,523,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,038 : 693,900 = 693,900 : x
  2. Step 2: Convert to fraction form
    316,038/693,900 = 693,900/x
  3. Step 3: Cross multiply
    316,038x = 693,900 × 693,900
  4. Step 4: Simplify right side
    316,038x = 481,497,210,000
  5. Step 5: Solve for x
    x = 481,497,210,000/316,038
  6. Step 6: Final answer
    x = 1,523,542.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.