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Finding the Third Proportional to 477,633 and 649,014

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Solution

The third proportional to 477,633 and 649,014 is: 881,888.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,633 : 649,014 = 649,014 : x
  2. Step 2: Convert to fraction form
    477,633/649,014 = 649,014/x
  3. Step 3: Cross multiply
    477,633x = 649,014 × 649,014
  4. Step 4: Simplify right side
    477,633x = 421,219,172,196
  5. Step 5: Solve for x
    x = 421,219,172,196/477,633
  6. Step 6: Final answer
    x = 881,888.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.