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Finding the Third Proportional to 323,276.25 and 702,510

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Solution

The third proportional to 323,276.25 and 702,510 is: 1,526,620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,276.25 : 702,510 = 702,510 : x
  2. Step 2: Convert to fraction form
    323,276.25/702,510 = 702,510/x
  3. Step 3: Cross multiply
    323,276.25x = 702,510 × 702,510
  4. Step 4: Simplify right side
    323,276.25x = 493,520,300,100
  5. Step 5: Solve for x
    x = 493,520,300,100/323,276.25
  6. Step 6: Final answer
    x = 1,526,620.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.