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Finding the Third Proportional to 289,048.50 and 432,114.75

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Solution

The third proportional to 289,048.50 and 432,114.75 is: 645,992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,048.50 : 432,114.75 = 432,114.75 : x
  2. Step 2: Convert to fraction form
    289,048.50/432,114.75 = 432,114.75/x
  3. Step 3: Cross multiply
    289,048.50x = 432,114.75 × 432,114.75
  4. Step 4: Simplify right side
    289,048.50x = 186,723,157,167.56
  5. Step 5: Solve for x
    x = 186,723,157,167.56/289,048.50
  6. Step 6: Final answer
    x = 645,992.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.