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Finding the Third Proportional to 294,861 and 637,929

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Solution

The third proportional to 294,861 and 637,929 is: 1,380,153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,861 : 637,929 = 637,929 : x
  2. Step 2: Convert to fraction form
    294,861/637,929 = 637,929/x
  3. Step 3: Cross multiply
    294,861x = 637,929 × 637,929
  4. Step 4: Simplify right side
    294,861x = 406,953,409,041
  5. Step 5: Solve for x
    x = 406,953,409,041/294,861
  6. Step 6: Final answer
    x = 1,380,153.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.