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Finding the Third Proportional to 307,030 and 660,716

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Solution

The third proportional to 307,030 and 660,716 is: 1,421,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,030 : 660,716 = 660,716 : x
  2. Step 2: Convert to fraction form
    307,030/660,716 = 660,716/x
  3. Step 3: Cross multiply
    307,030x = 660,716 × 660,716
  4. Step 4: Simplify right side
    307,030x = 436,545,632,656
  5. Step 5: Solve for x
    x = 436,545,632,656/307,030
  6. Step 6: Final answer
    x = 1,421,833.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.