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Finding the Third Proportional to 673,735.50 and 990,904.50

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Solution

The third proportional to 673,735.50 and 990,904.50 is: 1,457,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,735.50 : 990,904.50 = 990,904.50 : x
  2. Step 2: Convert to fraction form
    673,735.50/990,904.50 = 990,904.50/x
  3. Step 3: Cross multiply
    673,735.50x = 990,904.50 × 990,904.50
  4. Step 4: Simplify right side
    673,735.50x = 981,891,728,120.25
  5. Step 5: Solve for x
    x = 981,891,728,120.25/673,735.50
  6. Step 6: Final answer
    x = 1,457,384.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.