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Finding the Third Proportional to 296,394 and 649,002

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Solution

The third proportional to 296,394 and 649,002 is: 1,421,093.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,394 : 649,002 = 649,002 : x
  2. Step 2: Convert to fraction form
    296,394/649,002 = 649,002/x
  3. Step 3: Cross multiply
    296,394x = 649,002 × 649,002
  4. Step 4: Simplify right side
    296,394x = 421,203,596,004
  5. Step 5: Solve for x
    x = 421,203,596,004/296,394
  6. Step 6: Final answer
    x = 1,421,093.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.