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Finding the Third Proportional to 433,925 and 649,316

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Solution

The third proportional to 433,925 and 649,316 is: 971,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,925 : 649,316 = 649,316 : x
  2. Step 2: Convert to fraction form
    433,925/649,316 = 649,316/x
  3. Step 3: Cross multiply
    433,925x = 649,316 × 649,316
  4. Step 4: Simplify right side
    433,925x = 421,611,267,856
  5. Step 5: Solve for x
    x = 421,611,267,856/433,925
  6. Step 6: Final answer
    x = 971,622.44

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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.