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Finding the Third Proportional to 313,305.19 and 470,646.56

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Solution

The third proportional to 313,305.19 and 470,646.56 is: 707,004.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,305.19 : 470,646.56 = 470,646.56 : x
  2. Step 2: Convert to fraction form
    313,305.19/470,646.56 = 470,646.56/x
  3. Step 3: Cross multiply
    313,305.19x = 470,646.56 × 470,646.56
  4. Step 4: Simplify right side
    313,305.19x = 221,508,186,793.07
  5. Step 5: Solve for x
    x = 221,508,186,793.07/313,305.19
  6. Step 6: Final answer
    x = 707,004.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.