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Finding the Third Proportional to 354,585 and 766,005

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Solution

The third proportional to 354,585 and 766,005 is: 1,654,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,585 : 766,005 = 766,005 : x
  2. Step 2: Convert to fraction form
    354,585/766,005 = 766,005/x
  3. Step 3: Cross multiply
    354,585x = 766,005 × 766,005
  4. Step 4: Simplify right side
    354,585x = 586,763,660,025
  5. Step 5: Solve for x
    x = 586,763,660,025/354,585
  6. Step 6: Final answer
    x = 1,654,789.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.