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Finding the Third Proportional to 320,532.19 and 479,363.06

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Solution

The third proportional to 320,532.19 and 479,363.06 is: 716,898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,532.19 : 479,363.06 = 479,363.06 : x
  2. Step 2: Convert to fraction form
    320,532.19/479,363.06 = 479,363.06/x
  3. Step 3: Cross multiply
    320,532.19x = 479,363.06 × 479,363.06
  4. Step 4: Simplify right side
    320,532.19x = 229,788,945,689.38
  5. Step 5: Solve for x
    x = 229,788,945,689.38/320,532.19
  6. Step 6: Final answer
    x = 716,898.19

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Why These Related Problems?

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