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Finding the Third Proportional to 433,920.88 and 649,309.76

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Solution

The third proportional to 433,920.88 and 649,309.76 is: 971,613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,920.88 : 649,309.76 = 649,309.76 : x
  2. Step 2: Convert to fraction form
    433,920.88/649,309.76 = 649,309.76/x
  3. Step 3: Cross multiply
    433,920.88x = 649,309.76 × 649,309.76
  4. Step 4: Simplify right side
    433,920.88x = 421,603,169,199.66
  5. Step 5: Solve for x
    x = 421,603,169,199.66/433,920.88
  6. Step 6: Final answer
    x = 971,613.01

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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.