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Finding the Third Proportional to 289,873.13 and 433,477.13

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Solution

The third proportional to 289,873.13 and 433,477.13 is: 648,222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,873.13 : 433,477.13 = 433,477.13 : x
  2. Step 2: Convert to fraction form
    289,873.13/433,477.13 = 433,477.13/x
  3. Step 3: Cross multiply
    289,873.13x = 433,477.13 × 433,477.13
  4. Step 4: Simplify right side
    289,873.13x = 187,902,417,898.27
  5. Step 5: Solve for x
    x = 187,902,417,898.27/289,873.13
  6. Step 6: Final answer
    x = 648,222.97

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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.