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Finding the Third Proportional to 295,416 and 649,968

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Solution

The third proportional to 295,416 and 649,968 is: 1,430,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,416 : 649,968 = 649,968 : x
  2. Step 2: Convert to fraction form
    295,416/649,968 = 649,968/x
  3. Step 3: Cross multiply
    295,416x = 649,968 × 649,968
  4. Step 4: Simplify right side
    295,416x = 422,458,401,024
  5. Step 5: Solve for x
    x = 422,458,401,024/295,416
  6. Step 6: Final answer
    x = 1,430,045.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.