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Finding the Third Proportional to 323,754 and 490,146

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Solution

The third proportional to 323,754 and 490,146 is: 742,054.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,754 : 490,146 = 490,146 : x
  2. Step 2: Convert to fraction form
    323,754/490,146 = 490,146/x
  3. Step 3: Cross multiply
    323,754x = 490,146 × 490,146
  4. Step 4: Simplify right side
    323,754x = 240,243,101,316
  5. Step 5: Solve for x
    x = 240,243,101,316/323,754
  6. Step 6: Final answer
    x = 742,054.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.