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Finding the Third Proportional to 316,785 and 689,337

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Solution

The third proportional to 316,785 and 689,337 is: 1,500,025.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,785 : 689,337 = 689,337 : x
  2. Step 2: Convert to fraction form
    316,785/689,337 = 689,337/x
  3. Step 3: Cross multiply
    316,785x = 689,337 × 689,337
  4. Step 4: Simplify right side
    316,785x = 475,185,499,569
  5. Step 5: Solve for x
    x = 475,185,499,569/316,785
  6. Step 6: Final answer
    x = 1,500,025.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.