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Finding the Third Proportional to 346,693.50 and 486,789.75

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Solution

The third proportional to 346,693.50 and 486,789.75 is: 683,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,693.50 : 486,789.75 = 486,789.75 : x
  2. Step 2: Convert to fraction form
    346,693.50/486,789.75 = 486,789.75/x
  3. Step 3: Cross multiply
    346,693.50x = 486,789.75 × 486,789.75
  4. Step 4: Simplify right side
    346,693.50x = 236,964,260,705.06
  5. Step 5: Solve for x
    x = 236,964,260,705.06/346,693.50
  6. Step 6: Final answer
    x = 683,497.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.