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Finding the Third Proportional to 322,276 and 708,992

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Solution

The third proportional to 322,276 and 708,992 is: 1,559,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,276 : 708,992 = 708,992 : x
  2. Step 2: Convert to fraction form
    322,276/708,992 = 708,992/x
  3. Step 3: Cross multiply
    322,276x = 708,992 × 708,992
  4. Step 4: Simplify right side
    322,276x = 502,669,656,064
  5. Step 5: Solve for x
    x = 502,669,656,064/322,276
  6. Step 6: Final answer
    x = 1,559,748.96

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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.